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Algebra and Trigonometry

Index

Algebra and TrigonometryIndex
  1. Preface
  2. 1 Prerequisites
    1. Introduction to Prerequisites
    2. 1.1 Real Numbers: Algebra Essentials
    3. 1.2 Exponents and Scientific Notation
    4. 1.3 Radicals and Rational Exponents
    5. 1.4 Polynomials
    6. 1.5 Factoring Polynomials
    7. 1.6 Rational Expressions
    8. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    9. Exercises
      1. Review Exercises
      2. Practice Test
  3. 2 Equations and Inequalities
    1. Introduction to Equations and Inequalities
    2. 2.1 The Rectangular Coordinate Systems and Graphs
    3. 2.2 Linear Equations in One Variable
    4. 2.3 Models and Applications
    5. 2.4 Complex Numbers
    6. 2.5 Quadratic Equations
    7. 2.6 Other Types of Equations
    8. 2.7 Linear Inequalities and Absolute Value Inequalities
    9. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  4. 3 Functions
    1. Introduction to Functions
    2. 3.1 Functions and Function Notation
    3. 3.2 Domain and Range
    4. 3.3 Rates of Change and Behavior of Graphs
    5. 3.4 Composition of Functions
    6. 3.5 Transformation of Functions
    7. 3.6 Absolute Value Functions
    8. 3.7 Inverse Functions
    9. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  5. 4 Linear Functions
    1. Introduction to Linear Functions
    2. 4.1 Linear Functions
    3. 4.2 Modeling with Linear Functions
    4. 4.3 Fitting Linear Models to Data
    5. Chapter Review
      1. Key Terms
      2. Key Concepts
    6. Exercises
      1. Review Exercises
      2. Practice Test
  6. 5 Polynomial and Rational Functions
    1. Introduction to Polynomial and Rational Functions
    2. 5.1 Quadratic Functions
    3. 5.2 Power Functions and Polynomial Functions
    4. 5.3 Graphs of Polynomial Functions
    5. 5.4 Dividing Polynomials
    6. 5.5 Zeros of Polynomial Functions
    7. 5.6 Rational Functions
    8. 5.7 Inverses and Radical Functions
    9. 5.8 Modeling Using Variation
    10. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    11. Exercises
      1. Review Exercises
      2. Practice Test
  7. 6 Exponential and Logarithmic Functions
    1. Introduction to Exponential and Logarithmic Functions
    2. 6.1 Exponential Functions
    3. 6.2 Graphs of Exponential Functions
    4. 6.3 Logarithmic Functions
    5. 6.4 Graphs of Logarithmic Functions
    6. 6.5 Logarithmic Properties
    7. 6.6 Exponential and Logarithmic Equations
    8. 6.7 Exponential and Logarithmic Models
    9. 6.8 Fitting Exponential Models to Data
    10. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    11. Exercises
      1. Review Exercises
      2. Practice Test
  8. 7 The Unit Circle: Sine and Cosine Functions
    1. Introduction to The Unit Circle: Sine and Cosine Functions
    2. 7.1 Angles
    3. 7.2 Right Triangle Trigonometry
    4. 7.3 Unit Circle
    5. 7.4 The Other Trigonometric Functions
    6. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    7. Exercises
      1. Review Exercises
      2. Practice Test
  9. 8 Periodic Functions
    1. Introduction to Periodic Functions
    2. 8.1 Graphs of the Sine and Cosine Functions
    3. 8.2 Graphs of the Other Trigonometric Functions
    4. 8.3 Inverse Trigonometric Functions
    5. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    6. Exercises
      1. Review Exercises
      2. Practice Test
  10. 9 Trigonometric Identities and Equations
    1. Introduction to Trigonometric Identities and Equations
    2. 9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
    3. 9.2 Sum and Difference Identities
    4. 9.3 Double-Angle, Half-Angle, and Reduction Formulas
    5. 9.4 Sum-to-Product and Product-to-Sum Formulas
    6. 9.5 Solving Trigonometric Equations
    7. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    8. Exercises
      1. Review Exercises
      2. Practice Test
  11. 10 Further Applications of Trigonometry
    1. Introduction to Further Applications of Trigonometry
    2. 10.1 Non-right Triangles: Law of Sines
    3. 10.2 Non-right Triangles: Law of Cosines
    4. 10.3 Polar Coordinates
    5. 10.4 Polar Coordinates: Graphs
    6. 10.5 Polar Form of Complex Numbers
    7. 10.6 Parametric Equations
    8. 10.7 Parametric Equations: Graphs
    9. 10.8 Vectors
    10. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    11. Exercises
      1. Review Exercises
      2. Practice Test
  12. 11 Systems of Equations and Inequalities
    1. Introduction to Systems of Equations and Inequalities
    2. 11.1 Systems of Linear Equations: Two Variables
    3. 11.2 Systems of Linear Equations: Three Variables
    4. 11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
    5. 11.4 Partial Fractions
    6. 11.5 Matrices and Matrix Operations
    7. 11.6 Solving Systems with Gaussian Elimination
    8. 11.7 Solving Systems with Inverses
    9. 11.8 Solving Systems with Cramer's Rule
    10. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    11. Exercises
      1. Review Exercises
      2. Practice Test
  13. 12 Analytic Geometry
    1. Introduction to Analytic Geometry
    2. 12.1 The Ellipse
    3. 12.2 The Hyperbola
    4. 12.3 The Parabola
    5. 12.4 Rotation of Axes
    6. 12.5 Conic Sections in Polar Coordinates
    7. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    8. Exercises
      1. Review Exercises
      2. Practice Test
  14. 13 Sequences, Probability, and Counting Theory
    1. Introduction to Sequences, Probability and Counting Theory
    2. 13.1 Sequences and Their Notations
    3. 13.2 Arithmetic Sequences
    4. 13.3 Geometric Sequences
    5. 13.4 Series and Their Notations
    6. 13.5 Counting Principles
    7. 13.6 Binomial Theorem
    8. 13.7 Probability
    9. Chapter Review
      1. Key Terms
      2. Key Equations
      3. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  15. A | Proofs, Identities, and Toolkit Functions
  16. Answer Key
    1. Chapter 1
    2. Chapter 2
    3. Chapter 3
    4. Chapter 4
    5. Chapter 5
    6. Chapter 6
    7. Chapter 7
    8. Chapter 8
    9. Chapter 9
    10. Chapter 10
    11. Chapter 11
    12. Chapter 12
    13. Chapter 13
  17. Index
A
AAS (angle-angle-side)10.1 Non-right Triangles: Law of Sines
absolute maximum3.3 Rates of Change and Behavior of Graphs
absolute minimum3.3 Rates of Change and Behavior of Graphs
absolute value3.2 Domain and Range, 3.6 Absolute Value Functions
absolute value equation2.6 Other Types of Equations, 2.6 Other Types of Equations
absolute value function3.2 Domain and Range
absolute value functions3.6 Absolute Value Functions, 3.6 Absolute Value Functions
absolute value inequality2.7 Linear Inequalities and Absolute Value Inequalities, 2.7 Linear Inequalities and Absolute Value Inequalities
addition method11.1 Systems of Linear Equations: Two Variables, 11.1 Systems of Linear Equations: Two Variables, 11.1 Systems of Linear Equations: Two Variables
Addition Principle13.5 Counting Principles
addition property2.7 Linear Inequalities and Absolute Value Inequalities
adjacent side7.2 Right Triangle Trigonometry
algebraic expression1.1 Real Numbers: Algebra Essentials
altitude10.1 Non-right Triangles: Law of Sines
ambiguous case10.1 Non-right Triangles: Law of Sines
amplitude8.1 Graphs of the Sine and Cosine Functions
angle7.1 Angles
angle of depression7.2 Right Triangle Trigonometry
angle of elevation7.2 Right Triangle Trigonometry, 10.1 Non-right Triangles: Law of Sines
angle of rotation12.4 Rotation of Axes
angular speed7.1 Angles, 7.1 Angles
annual interest13.4 Series and Their Notations
annual percentage rate (APR)6.1 Exponential Functions
annuity13.4 Series and Their Notations
apoapsis12.5 Conic Sections in Polar Coordinates
arc7.1 Angles
arc length7.1 Angles, 7.1 Angles, 7.3 Unit Circle
arccosine8.3 Inverse Trigonometric Functions
Archimedes’ spiral10.4 Polar Coordinates: Graphs
arcsine8.3 Inverse Trigonometric Functions
arctangent8.3 Inverse Trigonometric Functions
area2.3 Models and Applications
area of a circle5.2 Power Functions and Polynomial Functions
area of a sector7.1 Angles
argument10.5 Polar Form of Complex Numbers
arithmetic sequence13.2 Arithmetic Sequences, 13.2 Arithmetic Sequences, 13.2 Arithmetic Sequences, 13.2 Arithmetic Sequences, 13.4 Series and Their Notations
arithmetic series13.4 Series and Their Notations
arrow notation5.6 Rational Functions
associative property of addition1.1 Real Numbers: Algebra Essentials
associative property of multiplication1.1 Real Numbers: Algebra Essentials
asymptotes12.2 The Hyperbola
augmented matrix11.6 Solving Systems with Gaussian Elimination, 11.6 Solving Systems with Gaussian Elimination, 11.6 Solving Systems with Gaussian Elimination, 11.7 Solving Systems with Inverses
average rate of change3.3 Rates of Change and Behavior of Graphs
axes of symmetry12.2 The Hyperbola
axis of symmetry5.1 Quadratic Functions, 5.1 Quadratic Functions, 12.3 The Parabola, 12.3 The Parabola
B
base1.1 Real Numbers: Algebra Essentials
binomial1.4 Polynomials, 5.4 Dividing Polynomials
binomial coefficient 13.6 Binomial Theorem
binomial expansion13.6 Binomial Theorem, 13.6 Binomial Theorem
Binomial Theorem13.6 Binomial Theorem
break-even point11.1 Systems of Linear Equations: Two Variables
C
cardioid10.4 Polar Coordinates: Graphs
carrying capacity6.7 Exponential and Logarithmic Models
Cartesian coordinate system2.1 The Rectangular Coordinate Systems and Graphs
Cartesian equation10.3 Polar Coordinates
Celsius3.7 Inverse Functions
center of a hyperbola12.2 The Hyperbola
center of an ellipse12.1 The Ellipse
central rectangle12.2 The Hyperbola
change-of-base formula6.5 Logarithmic Properties, 6.5 Logarithmic Properties
circle11.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
circular motion8.1 Graphs of the Sine and Cosine Functions
circumference7.1 Angles
co-vertex12.1 The Ellipse
co-vertices12.1 The Ellipse
coefficient1.4 Polynomials, 1.4 Polynomials, 5.2 Power Functions and Polynomial Functions, 5.5 Zeros of Polynomial Functions
coefficient matrix11.6 Solving Systems with Gaussian Elimination, 11.6 Solving Systems with Gaussian Elimination, 11.7 Solving Systems with Inverses, 11.7 Solving Systems with Inverses
cofunction9.2 Sum and Difference Identities
cofunction identities7.2 Right Triangle Trigonometry, 9.2 Sum and Difference Identities
column11.5 Matrices and Matrix Operations
column matrix11.5 Matrices and Matrix Operations
combinations13.5 Counting Principles, 13.6 Binomial Theorem
combining functions3.4 Composition of Functions
common base6.6 Exponential and Logarithmic Equations
common difference13.2 Arithmetic Sequences, 13.4 Series and Their Notations
common logarithm6.3 Logarithmic Functions
common ratio13.3 Geometric Sequences, 13.4 Series and Their Notations
commutative3.4 Composition of Functions
commutative property of addition1.1 Real Numbers: Algebra Essentials
commutative property of multiplication1.1 Real Numbers: Algebra Essentials
complement of an event 13.7 Probability
completing the square2.5 Quadratic Equations, 2.5 Quadratic Equations
complex conjugate2.4 Complex Numbers
Complex Conjugate Theorem5.5 Zeros of Polynomial Functions
complex number2.4 Complex Numbers, 10.5 Polar Form of Complex Numbers
complex plane2.4 Complex Numbers, 10.5 Polar Form of Complex Numbers
composite function3.4 Composition of Functions
composition of functions3.4 Composition of Functions
compound inequality2.7 Linear Inequalities and Absolute Value Inequalities
compound interest6.1 Exponential Functions
compression4.1 Linear Functions, 6.2 Graphs of Exponential Functions, 6.4 Graphs of Logarithmic Functions
conditional equation2.2 Linear Equations in One Variable
conic12.1 The Ellipse, 12.2 The Hyperbola, 12.5 Conic Sections in Polar Coordinates
conic section12.4 Rotation of Axes
conic sections10.6 Parametric Equations
conjugate axis12.2 The Hyperbola
consistent system11.1 Systems of Linear Equations: Two Variables
constant1.1 Real Numbers: Algebra Essentials
constant function3.2 Domain and Range
constant of variation5.8 Modeling Using Variation, 5.8 Modeling Using Variation
continuous5.3 Graphs of Polynomial Functions
continuous function5.2 Power Functions and Polynomial Functions
convex limaçons10.4 Polar Coordinates: Graphs
coordinate plane12.3 The Parabola
correlation coefficient4.3 Fitting Linear Models to Data
cosecant7.4 The Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions
cosecant function8.2 Graphs of the Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions, 9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
cosine9.4 Sum-to-Product and Product-to-Sum Formulas, 9.4 Sum-to-Product and Product-to-Sum Formulas
cosine function7.3 Unit Circle, 8.1 Graphs of the Sine and Cosine Functions, 8.1 Graphs of the Sine and Cosine Functions, 8.1 Graphs of the Sine and Cosine Functions, 8.1 Graphs of the Sine and Cosine Functions, 8.1 Graphs of the Sine and Cosine Functions
cost function3.4 Composition of Functions, 11.1 Systems of Linear Equations: Two Variables
cotangent7.4 The Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions
cotangent function8.2 Graphs of the Other Trigonometric Functions, 9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
coterminal angles7.1 Angles, 7.1 Angles
Cramer’s Rule11.8 Solving Systems with Cramer's Rule, 11.8 Solving Systems with Cramer's Rule, 11.8 Solving Systems with Cramer's Rule, 11.8 Solving Systems with Cramer's Rule
cube root5.2 Power Functions and Polynomial Functions
cubic functions5.7 Inverses and Radical Functions
curvilinear path10.6 Parametric Equations
D
De Moivre10.5 Polar Form of Complex Numbers
De Moivre’s Theorem10.5 Polar Form of Complex Numbers, 10.5 Polar Form of Complex Numbers
decompose a composite function3.4 Composition of Functions
decomposition11.4 Partial Fractions
decreasing function3.3 Rates of Change and Behavior of Graphs, 4.1 Linear Functions
decreasing linear function4.1 Linear Functions
degenerate conic sections12.4 Rotation of Axes
degree1.4 Polynomials, 1.4 Polynomials, 5.2 Power Functions and Polynomial Functions, 7.1 Angles
dependent system11.1 Systems of Linear Equations: Two Variables, 11.1 Systems of Linear Equations: Two Variables, 11.2 Systems of Linear Equations: Three Variables
dependent variable3.1 Functions and Function Notation
Descartes10.5 Polar Form of Complex Numbers
Descartes’ Rule of Signs5.5 Zeros of Polynomial Functions
determinant11.8 Solving Systems with Cramer's Rule, 11.8 Solving Systems with Cramer's Rule, 11.8 Solving Systems with Cramer's Rule
difference of squares1.4 Polynomials
dimpled limaçons10.4 Polar Coordinates: Graphs
direct variation5.8 Modeling Using Variation, 5.8 Modeling Using Variation
directrix12.3 The Parabola, 12.3 The Parabola, 12.3 The Parabola, 12.3 The Parabola, 12.3 The Parabola, 12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates
discriminant2.5 Quadratic Equations, 2.5 Quadratic Equations
displacement7.1 Angles
distance formula2.1 The Rectangular Coordinate Systems and Graphs, 9.2 Sum and Difference Identities, 12.2 The Hyperbola, 12.3 The Parabola
distributive property1.1 Real Numbers: Algebra Essentials
diverges13.4 Series and Their Notations
dividend5.4 Dividing Polynomials
Division Algorithm5.4 Dividing Polynomials, 5.5 Zeros of Polynomial Functions
divisor5.4 Dividing Polynomials
domain3.1 Functions and Function Notation, 3.1 Functions and Function Notation, 3.2 Domain and Range, 3.2 Domain and Range, 3.2 Domain and Range, 3.2 Domain and Range, 8.3 Inverse Trigonometric Functions, 8.3 Inverse Trigonometric Functions
domain and range3.2 Domain and Range, 3.2 Domain and Range
domain of a composite function3.4 Composition of Functions
dot product10.8 Vectors
double-angle formulas9.3 Double-Angle, Half-Angle, and Reduction Formulas, 9.3 Double-Angle, Half-Angle, and Reduction Formulas
doubling time6.7 Exponential and Logarithmic Models
Dürer10.4 Polar Coordinates: Graphs
E
eccentricity12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates
electrostatic force3.3 Rates of Change and Behavior of Graphs
elimination11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
ellipse10.7 Parametric Equations: Graphs, 10.7 Parametric Equations: Graphs, 11.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 12.1 The Ellipse, 12.1 The Ellipse, 12.1 The Ellipse, 12.1 The Ellipse, 12.1 The Ellipse, 12.3 The Parabola, 12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates
ellipsis13.1 Sequences and Their Notations
end behavior5.2 Power Functions and Polynomial Functions, 5.6 Rational Functions
endpoint3.3 Rates of Change and Behavior of Graphs, 7.1 Angles
entry11.5 Matrices and Matrix Operations
equation1.1 Real Numbers: Algebra Essentials, 3.1 Functions and Function Notation
equation in quadratic form2.6 Other Types of Equations
equation in two variables2.1 The Rectangular Coordinate Systems and Graphs
Euler10.5 Polar Form of Complex Numbers
even function3.5 Transformation of Functions, 9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
even-odd identities9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions, 9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
event13.7 Probability
experiment13.7 Probability
explicit formula13.1 Sequences and Their Notations, 13.1 Sequences and Their Notations, 13.1 Sequences and Their Notations, 13.2 Arithmetic Sequences, 13.3 Geometric Sequences
exponent1.1 Real Numbers: Algebra Essentials
Exponential decay6.1 Exponential Functions, 6.1 Exponential Functions, 6.2 Graphs of Exponential Functions, 6.7 Exponential and Logarithmic Models, 6.7 Exponential and Logarithmic Models, 6.7 Exponential and Logarithmic Models, 6.8 Fitting Exponential Models to Data
exponential equation6.6 Exponential and Logarithmic Equations
exponential function6.1 Exponential Functions
exponential growth6.1 Exponential Functions, 6.1 Exponential Functions, 6.2 Graphs of Exponential Functions, 6.7 Exponential and Logarithmic Models, 6.7 Exponential and Logarithmic Models, 6.7 Exponential and Logarithmic Models
exponential notation1.1 Real Numbers: Algebra Essentials
extraneous solution6.6 Exponential and Logarithmic Equations
extraneous solutions2.6 Other Types of Equations
extrapolation4.3 Fitting Linear Models to Data
F
factor by grouping1.5 Factoring Polynomials
Factor Theorem5.5 Zeros of Polynomial Functions
factorial13.1 Sequences and Their Notations
factoring2.5 Quadratic Equations
Fahrenheit3.7 Inverse Functions
feasible region11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
finite arithmetic sequence13.2 Arithmetic Sequences
finite sequence13.1 Sequences and Their Notations
foci12.1 The Ellipse, 12.1 The Ellipse, 12.1 The Ellipse, 12.2 The Hyperbola
focus12.1 The Ellipse, 12.3 The Parabola, 12.3 The Parabola, 12.3 The Parabola, 12.3 The Parabola, 12.3 The Parabola, 12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates
FOIL1.4 Polynomials
formula1.1 Real Numbers: Algebra Essentials, 3.1 Functions and Function Notation
function3.1 Functions and Function Notation, 3.2 Domain and Range
function notation3.1 Functions and Function Notation
Fundamental Counting Principle13.5 Counting Principles
Fundamental Theorem of Algebra5.5 Zeros of Polynomial Functions, 5.5 Zeros of Polynomial Functions
G
Gauss10.5 Polar Form of Complex Numbers, 11.2 Systems of Linear Equations: Three Variables, 11.6 Solving Systems with Gaussian Elimination
Gaussian elimination11.2 Systems of Linear Equations: Three Variables, 11.6 Solving Systems with Gaussian Elimination, 11.6 Solving Systems with Gaussian Elimination
general form5.1 Quadratic Functions
general form of a quadratic function5.1 Quadratic Functions
Generalized Pythagorean Theorem10.2 Non-right Triangles: Law of Cosines
geometric sequence13.3 Geometric Sequences, 13.4 Series and Their Notations
geometric series13.4 Series and Their Notations
global maximum5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions
global minimum5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions
graph in two variables2.1 The Rectangular Coordinate Systems and Graphs
gravity10.7 Parametric Equations: Graphs
greatest common factor1.5 Factoring Polynomials, 1.5 Factoring Polynomials, 2.5 Quadratic Equations
H
half-angle formulas9.3 Double-Angle, Half-Angle, and Reduction Formulas, 9.3 Double-Angle, Half-Angle, and Reduction Formulas
half-life6.6 Exponential and Logarithmic Equations, 6.7 Exponential and Logarithmic Models
Heaviside method11.4 Partial Fractions
Heron of Alexandria10.2 Non-right Triangles: Law of Cosines
Heron’s formula10.2 Non-right Triangles: Law of Cosines
horizontal asymptote5.6 Rational Functions, 5.6 Rational Functions, 5.6 Rational Functions
horizontal compression3.5 Transformation of Functions, 9.5 Solving Trigonometric Equations
horizontal line2.2 Linear Equations in One Variable, 4.1 Linear Functions, 4.1 Linear Functions
horizontal line test3.1 Functions and Function Notation
horizontal reflection3.5 Transformation of Functions
horizontal shift3.5 Transformation of Functions, 6.2 Graphs of Exponential Functions, 6.4 Graphs of Logarithmic Functions, 8.1 Graphs of the Sine and Cosine Functions
horizontal stretch3.5 Transformation of Functions
hyperbola12.2 The Hyperbola, 12.2 The Hyperbola, 12.2 The Hyperbola, 12.2 The Hyperbola, 12.2 The Hyperbola, 12.2 The Hyperbola, 12.2 The Hyperbola, 12.2 The Hyperbola, 12.3 The Parabola, 12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates
hypotenuse7.2 Right Triangle Trigonometry
I
identities7.4 The Other Trigonometric Functions
identity equation2.2 Linear Equations in One Variable
identity matrix11.7 Solving Systems with Inverses, 11.7 Solving Systems with Inverses, 11.7 Solving Systems with Inverses
identity property of addition1.1 Real Numbers: Algebra Essentials
identity property of multiplication1.1 Real Numbers: Algebra Essentials
imaginary number2.4 Complex Numbers
inconsistent equation2.2 Linear Equations in One Variable
inconsistent system11.1 Systems of Linear Equations: Two Variables, 11.1 Systems of Linear Equations: Two Variables, 11.2 Systems of Linear Equations: Three Variables
increasing function3.3 Rates of Change and Behavior of Graphs, 4.1 Linear Functions
increasing linear function4.1 Linear Functions
independent system11.1 Systems of Linear Equations: Two Variables
independent variable3.1 Functions and Function Notation
index1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents
index of summation13.4 Series and Their Notations
inequality11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
infinite geometric sequence13.4 Series and Their Notations
infinite sequence13.1 Sequences and Their Notations
infinite series13.4 Series and Their Notations
initial point10.8 Vectors, 10.8 Vectors
initial side7.1 Angles
inner-loop limaçons10.4 Polar Coordinates: Graphs
input3.1 Functions and Function Notation
integers1.1 Real Numbers: Algebra Essentials, 1.1 Real Numbers: Algebra Essentials
intercepts2.1 The Rectangular Coordinate Systems and Graphs
Intermediate Value Theorem5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions
interpolation4.3 Fitting Linear Models to Data
intersection13.7 Probability
interval2.7 Linear Inequalities and Absolute Value Inequalities
interval notation2.7 Linear Inequalities and Absolute Value Inequalities, 3.2 Domain and Range, 3.3 Rates of Change and Behavior of Graphs
inverse cosine function8.3 Inverse Trigonometric Functions
inverse function3.7 Inverse Functions, 5.7 Inverses and Radical Functions
inverse matrix11.7 Solving Systems with Inverses, 11.7 Solving Systems with Inverses
inverse of a radical function5.7 Inverses and Radical Functions
inverse of a rational function5.7 Inverses and Radical Functions
inverse property of addition1.1 Real Numbers: Algebra Essentials
inverse property of multiplication1.1 Real Numbers: Algebra Essentials
inverse sine function8.3 Inverse Trigonometric Functions
inverse tangent function8.3 Inverse Trigonometric Functions
inverse trigonometric functions8.3 Inverse Trigonometric Functions, 8.3 Inverse Trigonometric Functions, 8.3 Inverse Trigonometric Functions, 8.3 Inverse Trigonometric Functions
inverse variation5.8 Modeling Using Variation
inverse variations5.8 Modeling Using Variation
inversely proportional5.8 Modeling Using Variation
invertible functions5.7 Inverses and Radical Functions
invertible matrix11.7 Solving Systems with Inverses, 11.8 Solving Systems with Cramer's Rule
irrational numbers1.1 Real Numbers: Algebra Essentials, 1.1 Real Numbers: Algebra Essentials
J
joint variation5.8 Modeling Using Variation
K
Kronecker10.5 Polar Form of Complex Numbers
L
latus rectum12.3 The Parabola, 12.3 The Parabola, 12.3 The Parabola, 12.3 The Parabola
Law of Cosines10.2 Non-right Triangles: Law of Cosines, 10.2 Non-right Triangles: Law of Cosines
Law of Sines10.1 Non-right Triangles: Law of Sines, 10.2 Non-right Triangles: Law of Cosines
leading coefficient1.4 Polynomials, 1.4 Polynomials, 5.2 Power Functions and Polynomial Functions
leading term1.4 Polynomials, 1.4 Polynomials, 5.2 Power Functions and Polynomial Functions
least common denominator1.6 Rational Expressions, 2.2 Linear Equations in One Variable
least squares regression4.3 Fitting Linear Models to Data
lemniscate10.4 Polar Coordinates: Graphs
linear equation2.2 Linear Equations in One Variable
Linear Factorization Theorem5.5 Zeros of Polynomial Functions, 5.5 Zeros of Polynomial Functions
linear function4.1 Linear Functions, 4.1 Linear Functions
linear growth6.1 Exponential Functions
linear model4.2 Modeling with Linear Functions, 4.3 Fitting Linear Models to Data
linear relationship4.3 Fitting Linear Models to Data
linear speed7.1 Angles
local extrema3.3 Rates of Change and Behavior of Graphs
local maximum3.3 Rates of Change and Behavior of Graphs, 5.3 Graphs of Polynomial Functions
local minimum3.3 Rates of Change and Behavior of Graphs, 5.3 Graphs of Polynomial Functions
logarithm6.3 Logarithmic Functions
logarithmic equation6.6 Exponential and Logarithmic Equations
logarithmic model6.8 Fitting Exponential Models to Data
logistic growth model6.7 Exponential and Logarithmic Models
long division5.4 Dividing Polynomials
lower limit of summation13.4 Series and Their Notations
M
magnitude3.2 Domain and Range, 3.5 Transformation of Functions, 10.5 Polar Form of Complex Numbers, 10.8 Vectors
main diagonal11.6 Solving Systems with Gaussian Elimination
major and minor axes12.1 The Ellipse
major axis12.1 The Ellipse, 12.1 The Ellipse
matrix11.5 Matrices and Matrix Operations, 11.5 Matrices and Matrix Operations, 11.6 Solving Systems with Gaussian Elimination
matrix multiplication11.5 Matrices and Matrix Operations, 11.7 Solving Systems with Inverses, 11.7 Solving Systems with Inverses
matrix operations11.5 Matrices and Matrix Operations
maximum value5.1 Quadratic Functions
measure of an angle7.1 Angles
midline8.1 Graphs of the Sine and Cosine Functions
midpoint formula2.1 The Rectangular Coordinate Systems and Graphs
minimum value5.1 Quadratic Functions
minor axis12.1 The Ellipse
model breakdown4.3 Fitting Linear Models to Data
modulus3.2 Domain and Range, 10.5 Polar Form of Complex Numbers
monomial1.4 Polynomials
Multiplication Principle13.5 Counting Principles
multiplication property2.7 Linear Inequalities and Absolute Value Inequalities
multiplicative inverse11.7 Solving Systems with Inverses, 11.7 Solving Systems with Inverses
multiplicative inverse of a matrix11.7 Solving Systems with Inverses, 11.7 Solving Systems with Inverses
multiplicity5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions
mutually exclusive events13.7 Probability
N
n factorial13.1 Sequences and Their Notations
natural logarithm6.3 Logarithmic Functions, 6.6 Exponential and Logarithmic Equations
natural numbers1.1 Real Numbers: Algebra Essentials, 1.1 Real Numbers: Algebra Essentials, 3.1 Functions and Function Notation
negative angle7.1 Angles
Newton’s Law of Cooling6.7 Exponential and Logarithmic Models
nominal rate6.1 Exponential Functions
non-right triangles10.1 Non-right Triangles: Law of Sines
nondegenerate conic sections12.4 Rotation of Axes
nonlinear inequality11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
nth partial sum13.4 Series and Their Notations
nth root of a complex number10.5 Polar Form of Complex Numbers
nth term of the sequence13.1 Sequences and Their Notations, 13.1 Sequences and Their Notations
O
oblique triangle10.1 Non-right Triangles: Law of Sines
odd function3.5 Transformation of Functions, 9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
one-loop limaçon10.4 Polar Coordinates: Graphs
one-to-one6.2 Graphs of Exponential Functions, 6.3 Logarithmic Functions, 6.5 Logarithmic Properties, 6.5 Logarithmic Properties
one-to-one function3.1 Functions and Function Notation, 3.7 Inverse Functions, 8.3 Inverse Trigonometric Functions
opposite side7.2 Right Triangle Trigonometry
order of magnitude6.7 Exponential and Logarithmic Models
order of operations1.1 Real Numbers: Algebra Essentials
ordered pair2.1 The Rectangular Coordinate Systems and Graphs, 3.1 Functions and Function Notation, 3.2 Domain and Range
ordered triple11.2 Systems of Linear Equations: Three Variables
origin2.1 The Rectangular Coordinate Systems and Graphs, 3.6 Absolute Value Functions
outcomes13.7 Probability
output3.1 Functions and Function Notation
P
parabola5.1 Quadratic Functions, 5.1 Quadratic Functions, 10.7 Parametric Equations: Graphs, 11.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 12.3 The Parabola, 12.3 The Parabola, 12.3 The Parabola, 12.3 The Parabola, 12.3 The Parabola, 12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates, 12.5 Conic Sections in Polar Coordinates
parallel2.2 Linear Equations in One Variable
parallel lines4.1 Linear Functions, 4.1 Linear Functions
parallelograms10.8 Vectors
parameter10.6 Parametric Equations
parametric equations10.6 Parametric Equations, 10.7 Parametric Equations: Graphs, 10.7 Parametric Equations: Graphs
parametric form10.7 Parametric Equations: Graphs
parent function6.4 Graphs of Logarithmic Functions
partial fraction11.4 Partial Fractions
partial fraction decomposition11.4 Partial Fractions, 11.4 Partial Fractions
Pascal10.4 Polar Coordinates: Graphs
Pascal's Triangle13.6 Binomial Theorem
perfect square trinomial1.4 Polynomials
periapsis12.5 Conic Sections in Polar Coordinates
perimeter2.3 Models and Applications
period7.4 The Other Trigonometric Functions, 8.1 Graphs of the Sine and Cosine Functions, 8.2 Graphs of the Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions, 9.5 Solving Trigonometric Equations
periodic function8.1 Graphs of the Sine and Cosine Functions
permutation13.5 Counting Principles
perpendicular2.2 Linear Equations in One Variable
perpendicular lines4.1 Linear Functions, 4.1 Linear Functions
pH6.5 Logarithmic Properties
phase shift8.1 Graphs of the Sine and Cosine Functions
piecewise function3.2 Domain and Range
piecewise functions13.1 Sequences and Their Notations
point-slope form4.1 Linear Functions
point-slope formula2.2 Linear Equations in One Variable, 12.2 The Hyperbola
polar axis10.3 Polar Coordinates
polar coordinates10.3 Polar Coordinates, 10.3 Polar Coordinates, 10.3 Polar Coordinates, 10.4 Polar Coordinates: Graphs
polar equation10.3 Polar Coordinates, 10.4 Polar Coordinates: Graphs, 10.4 Polar Coordinates: Graphs, 12.5 Conic Sections in Polar Coordinates
polar form10.5 Polar Form of Complex Numbers
polar form of a complex number10.5 Polar Form of Complex Numbers
polar form of a conic12.5 Conic Sections in Polar Coordinates
polar grid10.3 Polar Coordinates, 10.3 Polar Coordinates
pole10.3 Polar Coordinates
polynomial1.4 Polynomials, 1.4 Polynomials, 5.5 Zeros of Polynomial Functions
polynomial equation2.6 Other Types of Equations
polynomial function5.2 Power Functions and Polynomial Functions, 5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions
position vector10.8 Vectors, 10.8 Vectors
positive angle7.1 Angles
power function5.2 Power Functions and Polynomial Functions
power rule for logarithms6.5 Logarithmic Properties, 6.5 Logarithmic Properties
principal nth root1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents
principal square root1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents
probability13.7 Probability
probability model13.7 Probability
product of two matrices11.5 Matrices and Matrix Operations
product rule for logarithms6.5 Logarithmic Properties, 6.5 Logarithmic Properties
product-to-sum formulas9.4 Sum-to-Product and Product-to-Sum Formulas, 9.4 Sum-to-Product and Product-to-Sum Formulas
profit function11.1 Systems of Linear Equations: Two Variables
properties of determinants11.8 Solving Systems with Cramer's Rule
Proxima Centauri6.7 Exponential and Logarithmic Models
Pythagoras10.5 Polar Form of Complex Numbers
Pythagorean identities9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions, 9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
Pythagorean Identity7.3 Unit Circle, 7.3 Unit Circle, 7.4 The Other Trigonometric Functions, 9.2 Sum and Difference Identities
Pythagorean Theorem2.1 The Rectangular Coordinate Systems and Graphs, 2.5 Quadratic Equations, 9.3 Double-Angle, Half-Angle, and Reduction Formulas, 9.5 Solving Trigonometric Equations, 10.2 Non-right Triangles: Law of Cosines, 10.7 Parametric Equations: Graphs
Q
quadrant2.1 The Rectangular Coordinate Systems and Graphs
quadrantal angle7.1 Angles
quadratic11.4 Partial Fractions, 11.4 Partial Fractions
quadratic equation2.5 Quadratic Equations, 2.5 Quadratic Equations, 2.5 Quadratic Equations, 2.5 Quadratic Equations, 9.5 Solving Trigonometric Equations
quadratic formula2.5 Quadratic Equations, 2.5 Quadratic Equations, 2.5 Quadratic Equations, 9.5 Solving Trigonometric Equations
quadratic function5.1 Quadratic Functions, 5.1 Quadratic Functions
quotient5.4 Dividing Polynomials
quotient identities9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions, 9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
quotient rule for logarithms6.5 Logarithmic Properties
R
radian7.1 Angles, 7.1 Angles, 7.1 Angles
radian measure7.1 Angles
radical1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents
radical equation2.6 Other Types of Equations
radical expression1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents
Radical expressions1.3 Radicals and Rational Exponents
radical functions5.7 Inverses and Radical Functions
radicand1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents, 2.6 Other Types of Equations
radiocarbon dating6.7 Exponential and Logarithmic Models
range3.1 Functions and Function Notation, 8.3 Inverse Trigonometric Functions
rate of change3.3 Rates of Change and Behavior of Graphs, 4.2 Modeling with Linear Functions
rational equation2.2 Linear Equations in One Variable
rational expression1.6 Rational Expressions, 2.2 Linear Equations in One Variable, 11.4 Partial Fractions, 11.4 Partial Fractions, 11.4 Partial Fractions
rational function5.6 Rational Functions, 5.6 Rational Functions, 5.6 Rational Functions
rational number2.2 Linear Equations in One Variable
rational numbers1.1 Real Numbers: Algebra Essentials, 1.1 Real Numbers: Algebra Essentials
Rational Zero Theorem5.5 Zeros of Polynomial Functions, 5.5 Zeros of Polynomial Functions
ray7.1 Angles
real number line1.1 Real Numbers: Algebra Essentials
real numbers1.1 Real Numbers: Algebra Essentials
reciprocal2.2 Linear Equations in One Variable, 3.7 Inverse Functions, 5.2 Power Functions and Polynomial Functions
reciprocal function5.6 Rational Functions
reciprocal identities9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions, 9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
reciprocal identity8.2 Graphs of the Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions
rectangular coordinates10.3 Polar Coordinates, 10.3 Polar Coordinates, 10.3 Polar Coordinates
rectangular equation10.3 Polar Coordinates, 10.6 Parametric Equations
rectangular form10.5 Polar Form of Complex Numbers, 10.7 Parametric Equations: Graphs
recursive formula13.1 Sequences and Their Notations, 13.2 Arithmetic Sequences, 13.2 Arithmetic Sequences, 13.3 Geometric Sequences
reduction formulas9.3 Double-Angle, Half-Angle, and Reduction Formulas, 9.3 Double-Angle, Half-Angle, and Reduction Formulas
reference angle7.1 Angles, 7.3 Unit Circle, 7.4 The Other Trigonometric Functions
reflection6.2 Graphs of Exponential Functions, 6.4 Graphs of Logarithmic Functions
regression analysis6.8 Fitting Exponential Models to Data, 6.8 Fitting Exponential Models to Data, 6.8 Fitting Exponential Models to Data
regression line4.3 Fitting Linear Models to Data
relation3.1 Functions and Function Notation
remainder5.4 Dividing Polynomials
Remainder Theorem5.5 Zeros of Polynomial Functions
removable discontinuity5.6 Rational Functions, 5.6 Rational Functions
Restricting the domain3.7 Inverse Functions
resultant10.8 Vectors
revenue function11.1 Systems of Linear Equations: Two Variables
Richter Scale6.3 Logarithmic Functions
right triangle7.2 Right Triangle Trigonometry, 8.3 Inverse Trigonometric Functions
roots5.1 Quadratic Functions
rose curve10.4 Polar Coordinates: Graphs
row11.5 Matrices and Matrix Operations
row matrix11.5 Matrices and Matrix Operations
row operations11.6 Solving Systems with Gaussian Elimination, 11.6 Solving Systems with Gaussian Elimination, 11.6 Solving Systems with Gaussian Elimination, 11.7 Solving Systems with Inverses, 11.7 Solving Systems with Inverses, 11.7 Solving Systems with Inverses, 11.7 Solving Systems with Inverses
row-echelon form11.6 Solving Systems with Gaussian Elimination, 11.6 Solving Systems with Gaussian Elimination, 11.6 Solving Systems with Gaussian Elimination
row-equivalent11.6 Solving Systems with Gaussian Elimination
S
sample space13.7 Probability
SAS (side-angle-side) triangle10.2 Non-right Triangles: Law of Cosines
scalar10.8 Vectors, 11.5 Matrices and Matrix Operations
scalar multiple10.8 Vectors, 11.5 Matrices and Matrix Operations
Scalar multiplication10.8 Vectors, 11.5 Matrices and Matrix Operations
scatter plot4.3 Fitting Linear Models to Data
scientific notation1.2 Exponents and Scientific Notation, 1.2 Exponents and Scientific Notation, 1.2 Exponents and Scientific Notation
secant7.4 The Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions
secant function8.2 Graphs of the Other Trigonometric Functions
sector of a circle7.1 Angles
sequence13.1 Sequences and Their Notations, 13.1 Sequences and Their Notations, 13.2 Arithmetic Sequences
series13.4 Series and Their Notations
set-builder notation2.7 Linear Inequalities and Absolute Value Inequalities, 3.2 Domain and Range
sigma13.4 Series and Their Notations
sine9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions, 9.4 Sum-to-Product and Product-to-Sum Formulas, 9.4 Sum-to-Product and Product-to-Sum Formulas
sine function7.3 Unit Circle, 8.1 Graphs of the Sine and Cosine Functions, 8.1 Graphs of the Sine and Cosine Functions, 8.1 Graphs of the Sine and Cosine Functions, 8.1 Graphs of the Sine and Cosine Functions, 8.1 Graphs of the Sine and Cosine Functions
sinusoidal function8.1 Graphs of the Sine and Cosine Functions
slope2.2 Linear Equations in One Variable, 4.1 Linear Functions
slope-intercept form4.1 Linear Functions, 4.1 Linear Functions, 4.1 Linear Functions
smooth curve5.2 Power Functions and Polynomial Functions
solution set2.2 Linear Equations in One Variable, 11.2 Systems of Linear Equations: Three Variables
solving systems of linear equations11.1 Systems of Linear Equations: Two Variables
special angles9.2 Sum and Difference Identities
square matrix11.5 Matrices and Matrix Operations, 11.8 Solving Systems with Cramer's Rule
square root property2.5 Quadratic Equations
SSA (side-side-angle)10.1 Non-right Triangles: Law of Sines
SSS (side-side-side) triangle10.2 Non-right Triangles: Law of Cosines
standard form2.2 Linear Equations in One Variable
standard form of a quadratic function5.1 Quadratic Functions
standard position7.1 Angles, 7.1 Angles, 10.8 Vectors
stretch6.2 Graphs of Exponential Functions
stretching/compressing factor8.2 Graphs of the Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions
substitution method11.1 Systems of Linear Equations: Two Variables
sum and difference formulas for cosine9.2 Sum and Difference Identities
sum and difference formulas for sine9.2 Sum and Difference Identities
sum and difference formulas for tangent9.2 Sum and Difference Identities
sum-to-product formulas9.4 Sum-to-Product and Product-to-Sum Formulas, 9.4 Sum-to-Product and Product-to-Sum Formulas
summation notation13.4 Series and Their Notations
surface area5.7 Inverses and Radical Functions
symmetry test10.4 Polar Coordinates: Graphs
synthetic division5.4 Dividing Polynomials, 5.5 Zeros of Polynomial Functions
system of equations11.6 Solving Systems with Gaussian Elimination, 11.6 Solving Systems with Gaussian Elimination, 11.6 Solving Systems with Gaussian Elimination, 11.6 Solving Systems with Gaussian Elimination, 11.7 Solving Systems with Inverses
system of linear equations4.2 Modeling with Linear Functions, 11.1 Systems of Linear Equations: Two Variables, 11.1 Systems of Linear Equations: Two Variables, 11.1 Systems of Linear Equations: Two Variables
system of nonlinear equations11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
system of nonlinear inequalities11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
system of three equations in three variables11.8 Solving Systems with Cramer's Rule
T
tangent7.4 The Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions
tangent function8.2 Graphs of the Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions, 8.2 Graphs of the Other Trigonometric Functions, 9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
term13.1 Sequences and Their Notations, 13.2 Arithmetic Sequences
term of a polynomial1.4 Polynomials, 1.4 Polynomials
term of a polynomial function5.2 Power Functions and Polynomial Functions
terminal point10.8 Vectors, 10.8 Vectors
terminal side7.1 Angles
transformation3.5 Transformation of Functions, 4.1 Linear Functions
translation12.1 The Ellipse
transverse axis12.2 The Hyperbola
trigonometric equations10.6 Parametric Equations
trigonometric functions7.4 The Other Trigonometric Functions
trigonometric identities10.2 Non-right Triangles: Law of Cosines
trinomial1.4 Polynomials
turning point5.2 Power Functions and Polynomial Functions, 5.3 Graphs of Polynomial Functions
U
union of two events13.7 Probability
unit circle7.1 Angles, 7.2 Right Triangle Trigonometry, 7.3 Unit Circle, 7.3 Unit Circle, 9.5 Solving Trigonometric Equations
unit vector10.8 Vectors
upper limit of summation13.4 Series and Their Notations
upper triangular form11.2 Systems of Linear Equations: Three Variables
V
variable1.1 Real Numbers: Algebra Essentials
varies directly5.8 Modeling Using Variation, 5.8 Modeling Using Variation
varies inversely5.8 Modeling Using Variation
vector10.8 Vectors
vector addition10.8 Vectors
vertex5.1 Quadratic Functions, 7.1 Angles, 12.1 The Ellipse, 12.1 The Ellipse, 12.3 The Parabola, 12.3 The Parabola
vertex form of a quadratic function5.1 Quadratic Functions
vertical asymptote5.6 Rational Functions, 5.6 Rational Functions, 5.6 Rational Functions, 8.3 Inverse Trigonometric Functions
vertical compression3.5 Transformation of Functions
vertical line2.2 Linear Equations in One Variable, 4.1 Linear Functions, 4.1 Linear Functions
vertical line test3.1 Functions and Function Notation
vertical reflection3.5 Transformation of Functions
vertical shift3.5 Transformation of Functions, 4.1 Linear Functions, 6.2 Graphs of Exponential Functions, 6.4 Graphs of Logarithmic Functions, 6.7 Exponential and Logarithmic Models, 8.1 Graphs of the Sine and Cosine Functions
vertical stretch3.5 Transformation of Functions, 4.1 Linear Functions, 6.4 Graphs of Logarithmic Functions
vertices12.1 The Ellipse, 12.1 The Ellipse
volume2.3 Models and Applications
volume of a sphere5.2 Power Functions and Polynomial Functions
W
whole numbers1.1 Real Numbers: Algebra Essentials, 1.1 Real Numbers: Algebra Essentials
X
x-axis2.1 The Rectangular Coordinate Systems and Graphs
x-coordinate2.1 The Rectangular Coordinate Systems and Graphs
x-intercept2.1 The Rectangular Coordinate Systems and Graphs, 4.1 Linear Functions
Y
y-axis2.1 The Rectangular Coordinate Systems and Graphs
y-coordinate2.1 The Rectangular Coordinate Systems and Graphs
y-intercept2.1 The Rectangular Coordinate Systems and Graphs, 4.1 Linear Functions
Z
zero-product property2.5 Quadratic Equations
zeros5.1 Quadratic Functions, 5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions, 5.5 Zeros of Polynomial Functions, 10.4 Polar Coordinates: Graphs
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