A

AAS (angle-angle-side)
10.1 Non-right Triangles: Law of Sines

absolute maximum
3.3 Rates of Change and Behavior of Graphs

absolute minimum
3.3 Rates of Change and Behavior of Graphs

absolute value function
3.2 Domain and Range

absolute value inequality
2.7 Linear Inequalities and Absolute Value Inequalities,
2.7 Linear Inequalities and Absolute Value Inequalities

addition method
11.1 Systems of Linear Equations: Two Variables,
11.1 Systems of Linear Equations: Two Variables,
11.1 Systems of Linear Equations: Two Variables

Addition Principle
13.5 Counting Principles

addition property
2.7 Linear Inequalities and Absolute Value Inequalities

adjacent side
7.2 Right Triangle Trigonometry

algebraic expression
1.1 Real Numbers: Algebra Essentials

ambiguous case
10.1 Non-right Triangles: Law of Sines

angle
7.1 Angles

angle of depression
7.2 Right Triangle Trigonometry

angle of rotation
12.4 Rotation of Axes

annual interest
13.4 Series and Their Notations

annual percentage rate (APR)
6.1 Exponential Functions

annuity
13.4 Series and Their Notations

arc
7.1 Angles

arccosine
8.3 Inverse Trigonometric Functions

Archimedesâ€™ spiral
10.4 Polar Coordinates: Graphs

arctangent
8.3 Inverse Trigonometric Functions

area of a circle
5.2 Power Functions and Polynomial Functions

area of a sector
7.1 Angles

argument
10.5 Polar Form of Complex Numbers

arithmetic sequence
13.2 Arithmetic Sequences,
13.2 Arithmetic Sequences,
13.2 Arithmetic Sequences,
13.2 Arithmetic Sequences,
13.4 Series and Their Notations

arithmetic series
13.4 Series and Their Notations

arrow notation
5.6 Rational Functions

associative property of addition
1.1 Real Numbers: Algebra Essentials

associative property of multiplication
1.1 Real Numbers: Algebra Essentials

asymptotes
12.2 The Hyperbola

augmented matrix
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

average rate of change
3.3 Rates of Change and Behavior of Graphs

axes of symmetry
12.2 The Hyperbola

axis of symmetry
5.1 Quadratic Functions,
5.1 Quadratic Functions,
12.3 The Parabola,
12.3 The Parabola

B

binomial coefficient
13.6 Binomial Theorem

Binomial Theorem
13.6 Binomial Theorem

break-even point
11.1 Systems of Linear Equations: Two Variables

C

cardioid
10.4 Polar Coordinates: Graphs

carrying capacity
6.7 Exponential and Logarithmic Models

Cartesian coordinate system
2.1 The Rectangular Coordinate Systems and Graphs

Cartesian equation
10.3 Polar Coordinates

Celsius
3.7 Inverse Functions

center of a hyperbola
12.2 The Hyperbola

center of an ellipse
12.1 The Ellipse

central rectangle
12.2 The Hyperbola

circle
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables,
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables

circular motion
8.1 Graphs of the Sine and Cosine Functions

circumference
7.1 Angles

co-vertex
12.1 The Ellipse

co-vertices
12.1 The Ellipse

coefficient
1.4 Polynomials,
1.4 Polynomials,
5.2 Power Functions and Polynomial Functions,
5.5 Zeros of Polynomial Functions

coefficient matrix
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

cofunction
9.2 Sum and Difference Identities

column matrix
11.5 Matrices and Matrix Operations

combining functions
3.4 Composition of Functions

common base
6.6 Exponential and Logarithmic Equations

common logarithm
6.3 Logarithmic Functions

commutative
3.4 Composition of Functions

commutative property of addition
1.1 Real Numbers: Algebra Essentials

commutative property of multiplication
1.1 Real Numbers: Algebra Essentials

complement of an event
13.7 Probability

complex conjugate
2.4 Complex Numbers

Complex Conjugate Theorem
5.5 Zeros of Polynomial Functions

composite function
3.4 Composition of Functions

composition of functions
3.4 Composition of Functions

compound inequality
2.7 Linear Inequalities and Absolute Value Inequalities

compound interest
6.1 Exponential Functions

compression
4.1 Linear Functions,
6.2 Graphs of Exponential Functions,
6.4 Graphs of Logarithmic Functions

conditional equation
2.2 Linear Equations in One Variable

conic section
12.4 Rotation of Axes

conic sections
10.6 Parametric Equations

conjugate axis
12.2 The Hyperbola

consistent system
11.1 Systems of Linear Equations: Two Variables

constant
1.1 Real Numbers: Algebra Essentials

constant function
3.2 Domain and Range

continuous
5.3 Graphs of Polynomial Functions

continuous function
5.2 Power Functions and Polynomial Functions

convex limaÃ§ons
10.4 Polar Coordinates: Graphs

coordinate plane
12.3 The Parabola

correlation coefficient
4.3 Fitting Linear Models to Data

cosecant function
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

cosine
9.4 Sum-to-Product and Product-to-Sum Formulas,
9.4 Sum-to-Product and Product-to-Sum Formulas

cosine function
7.3 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

cotangent function
8.2 Graphs of the Other Trigonometric Functions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions

Cramerâ€™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,
11.8 Solving Systems with Cramer's Rule

cubic functions
5.7 Inverses and Radical Functions

curvilinear path
10.6 Parametric Equations

D

De Moivre
10.5 Polar Form of Complex Numbers

decompose a composite function
3.4 Composition of Functions

decomposition
11.4 Partial Fractions

decreasing linear function
4.1 Linear Functions

degenerate conic sections
12.4 Rotation of Axes

dependent system
11.1 Systems of Linear Equations: Two Variables,
11.1 Systems of Linear Equations: Two Variables,
11.2 Systems of Linear Equations: Three Variables

dependent variable
3.1 Functions and Function Notation

Descartes
10.5 Polar Form of Complex Numbers

Descartesâ€™ Rule of Signs
5.5 Zeros of Polynomial Functions

determinant
11.8 Solving Systems with Cramer's Rule,
11.8 Solving Systems with Cramer's Rule,
11.8 Solving Systems with Cramer's Rule

difference of squares
1.4 Polynomials

dimpled limaÃ§ons
10.4 Polar Coordinates: Graphs

directrix
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,
12.5 Conic Sections in Polar Coordinates

displacement
7.1 Angles

distance formula
2.1 The Rectangular Coordinate Systems and Graphs,
9.2 Sum and Difference Identities,
12.2 The Hyperbola,
12.3 The Parabola

distributive property
1.1 Real Numbers: Algebra Essentials

diverges
13.4 Series and Their Notations

dividend
5.4 Dividing Polynomials

divisor
5.4 Dividing Polynomials

domain
3.1 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 of a composite function
3.4 Composition of Functions

dot product
10.8 Vectors

double-angle formulas
9.3 Double-Angle, Half-Angle, and Reduction Formulas,
9.3 Double-Angle, Half-Angle, and Reduction Formulas

doubling time
6.7 Exponential and Logarithmic Models

E

electrostatic force
3.3 Rates of Change and Behavior of Graphs

ellipse
10.7 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

ellipsis
13.1 Sequences and Their Notations

equation in quadratic form
2.6 Other Types of Equations

equation in two variables
2.1 The Rectangular Coordinate Systems and Graphs

even function
3.5 Transformation of Functions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions

even-odd identities
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions

event
13.7 Probability

experiment
13.7 Probability

explicit formula
13.1 Sequences and Their Notations,
13.1 Sequences and Their Notations,
13.1 Sequences and Their Notations,
13.2 Arithmetic Sequences,
13.3 Geometric Sequences

exponent
1.1 Real Numbers: Algebra Essentials

Exponential decay
6.1 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 equation
6.6 Exponential and Logarithmic Equations

exponential function
6.1 Exponential Functions

exponential growth
6.1 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 notation
1.1 Real Numbers: Algebra Essentials

extraneous solution
6.6 Exponential and Logarithmic Equations

extraneous solutions
2.6 Other Types of Equations

extrapolation
4.3 Fitting Linear Models to Data

F

factor by grouping
1.5 Factoring Polynomials

Factor Theorem
5.5 Zeros of Polynomial Functions

factorial
13.1 Sequences and Their Notations

factoring
2.5 Quadratic Equations

Fahrenheit
3.7 Inverse Functions

finite arithmetic sequence
13.2 Arithmetic Sequences

finite sequence
13.1 Sequences and Their Notations

focus
12.1 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

FOIL
1.4 Polynomials

function notation
3.1 Functions and Function Notation

Fundamental Counting Principle
13.5 Counting Principles

G

Gauss
10.5 Polar Form of Complex Numbers,
11.2 Systems of Linear Equations: Three Variables,
11.6 Solving Systems with Gaussian Elimination

Gaussian elimination
11.2 Systems of Linear Equations: Three Variables,
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination

general form
5.1 Quadratic Functions

general form of a quadratic function
5.1 Quadratic Functions

Generalized Pythagorean Theorem
10.2 Non-right Triangles: Law of Cosines

geometric series
13.4 Series and Their Notations

graph in two variables
2.1 The Rectangular Coordinate Systems and Graphs

greatest common factor
1.5 Factoring Polynomials,
1.5 Factoring Polynomials,
2.5 Quadratic Equations

H

half-angle formulas
9.3 Double-Angle, Half-Angle, and Reduction Formulas,
9.3 Double-Angle, Half-Angle, and Reduction Formulas

Heaviside method
11.4 Partial Fractions

Heron of Alexandria
10.2 Non-right Triangles: Law of Cosines

Heronâ€™s formula
10.2 Non-right Triangles: Law of Cosines

horizontal line test
3.1 Functions and Function Notation

horizontal reflection
3.5 Transformation of Functions

horizontal shift
3.5 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 stretch
3.5 Transformation of Functions

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,
12.2 The Hyperbola,
12.3 The Parabola,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates

hypotenuse
7.2 Right Triangle Trigonometry

I

identities
7.4 The Other Trigonometric Functions

identity equation
2.2 Linear Equations in One Variable

identity matrix
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses

identity property of addition
1.1 Real Numbers: Algebra Essentials

identity property of multiplication
1.1 Real Numbers: Algebra Essentials

imaginary number
2.4 Complex Numbers

inconsistent equation
2.2 Linear Equations in One Variable

inconsistent system
11.1 Systems of Linear Equations: Two Variables,
11.1 Systems of Linear Equations: Two Variables,
11.2 Systems of Linear Equations: Three Variables

increasing linear function
4.1 Linear Functions

independent system
11.1 Systems of Linear Equations: Two Variables

independent variable
3.1 Functions and Function Notation

index of summation
13.4 Series and Their Notations

infinite geometric sequence
13.4 Series and Their Notations

infinite sequence
13.1 Sequences and Their Notations

infinite series
13.4 Series and Their Notations

initial side
7.1 Angles

inner-loop limaÃ§ons
10.4 Polar Coordinates: Graphs

interpolation
4.3 Fitting Linear Models to Data

intersection
13.7 Probability

interval notation
2.7 Linear Inequalities and Absolute Value Inequalities,
3.2 Domain and Range,
3.3 Rates of Change and Behavior of Graphs

inverse cosine function
8.3 Inverse Trigonometric Functions

inverse of a radical function
5.7 Inverses and Radical Functions

inverse of a rational function
5.7 Inverses and Radical Functions

inverse property of addition
1.1 Real Numbers: Algebra Essentials

inverse property of multiplication
1.1 Real Numbers: Algebra Essentials

inverse sine function
8.3 Inverse Trigonometric Functions

inverse tangent function
8.3 Inverse Trigonometric Functions

inverse trigonometric functions
8.3 Inverse Trigonometric Functions,
8.3 Inverse Trigonometric Functions,
8.3 Inverse Trigonometric Functions,
8.3 Inverse Trigonometric Functions

inverse variation
5.8 Modeling Using Variation

inverse variations
5.8 Modeling Using Variation

inversely proportional
5.8 Modeling Using Variation

invertible functions
5.7 Inverses and Radical Functions

L

least squares regression
4.3 Fitting Linear Models to Data

lemniscate
10.4 Polar Coordinates: Graphs

linear equation
2.2 Linear Equations in One Variable

linear growth
6.1 Exponential Functions

linear relationship
4.3 Fitting Linear Models to Data

linear speed
7.1 Angles

local extrema
3.3 Rates of Change and Behavior of Graphs

logarithm
6.3 Logarithmic Functions

logarithmic equation
6.6 Exponential and Logarithmic Equations

logarithmic model
6.8 Fitting Exponential Models to Data

logistic growth model
6.7 Exponential and Logarithmic Models

long division
5.4 Dividing Polynomials

lower limit of summation
13.4 Series and Their Notations

M

magnitude
3.2 Domain and Range,
3.5 Transformation of Functions,
10.5 Polar Form of Complex Numbers,
10.8 Vectors

main diagonal
11.6 Solving Systems with Gaussian Elimination

major and minor axes
12.1 The Ellipse

matrix
11.5 Matrices and Matrix Operations,
11.5 Matrices and Matrix Operations,
11.6 Solving Systems with Gaussian Elimination

matrix multiplication
11.5 Matrices and Matrix Operations,
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses

matrix operations
11.5 Matrices and Matrix Operations

maximum value
5.1 Quadratic Functions

measure of an angle
7.1 Angles

midpoint formula
2.1 The Rectangular Coordinate Systems and Graphs

minimum value
5.1 Quadratic Functions

minor axis
12.1 The Ellipse

model breakdown
4.3 Fitting Linear Models to Data

monomial
1.4 Polynomials

Multiplication Principle
13.5 Counting Principles

multiplication property
2.7 Linear Inequalities and Absolute Value Inequalities

multiplicative inverse of a matrix
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses

mutually exclusive events
13.7 Probability

N

n factorial
13.1 Sequences and Their Notations

natural numbers
1.1 Real Numbers: Algebra Essentials,
1.1 Real Numbers: Algebra Essentials,
3.1 Functions and Function Notation

negative angle
7.1 Angles

Newtonâ€™s Law of Cooling
6.7 Exponential and Logarithmic Models

nominal rate
6.1 Exponential Functions

non-right triangles
10.1 Non-right Triangles: Law of Sines

nondegenerate conic sections
12.4 Rotation of Axes

nonlinear inequality
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables

nth partial sum
13.4 Series and Their Notations

nth root of a complex number
10.5 Polar Form of Complex Numbers

O

oblique triangle
10.1 Non-right Triangles: Law of Sines

odd function
3.5 Transformation of Functions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions

one-loop limaÃ§on
10.4 Polar Coordinates: Graphs

one-to-one
6.2 Graphs of Exponential Functions,
6.3 Logarithmic Functions,
6.5 Logarithmic Properties,
6.5 Logarithmic Properties

one-to-one function
3.1 Functions and Function Notation,
3.7 Inverse Functions,
8.3 Inverse Trigonometric Functions

opposite side
7.2 Right Triangle Trigonometry

order of magnitude
6.7 Exponential and Logarithmic Models

order of operations
1.1 Real Numbers: Algebra Essentials

ordered pair
2.1 The Rectangular Coordinate Systems and Graphs,
3.1 Functions and Function Notation,
3.2 Domain and Range

ordered triple
11.2 Systems of Linear Equations: Three Variables

outcomes
13.7 Probability

P

parabola
5.1 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

parallel
2.2 Linear Equations in One Variable

parallelograms
10.8 Vectors

parameter
10.6 Parametric Equations

parametric equations
10.6 Parametric Equations,
10.7 Parametric Equations: Graphs,
10.7 Parametric Equations: Graphs

parametric form
10.7 Parametric Equations: Graphs

parent function
6.4 Graphs of Logarithmic Functions

partial fraction
11.4 Partial Fractions

Pascal's Triangle
13.6 Binomial Theorem

perfect square trinomial
1.4 Polynomials

periapsis
12.5 Conic Sections in Polar Coordinates

perimeter
2.3 Models and Applications

period
7.4 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 function
8.1 Graphs of the Sine and Cosine Functions

permutation
13.5 Counting Principles

perpendicular
2.2 Linear Equations in One Variable

phase shift
8.1 Graphs of the Sine and Cosine Functions

piecewise function
3.2 Domain and Range

piecewise functions
13.1 Sequences and Their Notations

point-slope form
4.1 Linear Functions

polar axis
10.3 Polar Coordinates

polar coordinates
10.3 Polar Coordinates,
10.3 Polar Coordinates,
10.3 Polar Coordinates,
10.4 Polar Coordinates: Graphs

polar equation
10.3 Polar Coordinates,
10.4 Polar Coordinates: Graphs,
10.4 Polar Coordinates: Graphs,
12.5 Conic Sections in Polar Coordinates

polar form
10.5 Polar Form of Complex Numbers

polar form of a complex number
10.5 Polar Form of Complex Numbers

polar form of a conic
12.5 Conic Sections in Polar Coordinates

polynomial equation
2.6 Other Types of Equations

polynomial function
5.2 Power Functions and Polynomial Functions,
5.3 Graphs of Polynomial Functions,
5.3 Graphs of Polynomial Functions,
5.3 Graphs of Polynomial Functions

positive angle
7.1 Angles

power function
5.2 Power Functions and Polynomial Functions

probability
13.7 Probability

probability model
13.7 Probability

product of two matrices
11.5 Matrices and Matrix Operations

product-to-sum formulas
9.4 Sum-to-Product and Product-to-Sum Formulas,
9.4 Sum-to-Product and Product-to-Sum Formulas

profit function
11.1 Systems of Linear Equations: Two Variables

properties of determinants
11.8 Solving Systems with Cramer's Rule

Proxima Centauri
6.7 Exponential and Logarithmic Models

Pythagoras
10.5 Polar Form of Complex Numbers

Pythagorean identities
9.1 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 identity
9.2 Sum and Difference Identities

Q

quadrantal angle
7.1 Angles

quadratic equation
2.5 Quadratic Equations,
2.5 Quadratic Equations,
2.5 Quadratic Equations,
2.5 Quadratic Equations,
9.5 Solving Trigonometric Equations

quadratic formula
2.5 Quadratic Equations,
2.5 Quadratic Equations,
2.5 Quadratic Equations,
9.5 Solving Trigonometric Equations

quotient
5.4 Dividing Polynomials

quotient identities
9.1 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 logarithms
6.5 Logarithmic Properties

R

radian measure
7.1 Angles

radical equation
2.6 Other Types of Equations

Radical expressions
1.3 Radicals and Rational Exponents

radical functions
5.7 Inverses and Radical Functions

radicand
1.3 Radicals and Rational Exponents,
1.3 Radicals and Rational Exponents,
2.6 Other Types of Equations

radiocarbon dating
6.7 Exponential and Logarithmic Models

rational equation
2.2 Linear Equations in One Variable

rational expression
1.6 Rational Expressions,
2.2 Linear Equations in One Variable,
11.4 Partial Fractions,
11.4 Partial Fractions,
11.4 Partial Fractions

rational number
2.2 Linear Equations in One Variable

ray
7.1 Angles

real number line
1.1 Real Numbers: Algebra Essentials

real numbers
1.1 Real Numbers: Algebra Essentials

reciprocal
2.2 Linear Equations in One Variable,
3.7 Inverse Functions,
5.2 Power Functions and Polynomial Functions

reciprocal function
5.6 Rational Functions

reciprocal identities
9.1 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 identity
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions

recursive formula
13.1 Sequences and Their Notations,
13.2 Arithmetic Sequences,
13.2 Arithmetic Sequences,
13.3 Geometric Sequences

reduction formulas
9.3 Double-Angle, Half-Angle, and Reduction Formulas,
9.3 Double-Angle, Half-Angle, and Reduction Formulas

regression analysis
6.8 Fitting Exponential Models to Data,
6.8 Fitting Exponential Models to Data,
6.8 Fitting Exponential Models to Data

regression line
4.3 Fitting Linear Models to Data

relation
3.1 Functions and Function Notation

remainder
5.4 Dividing Polynomials

Remainder Theorem
5.5 Zeros of Polynomial Functions

Restricting the domain
3.7 Inverse Functions

resultant
10.8 Vectors

revenue function
11.1 Systems of Linear Equations: Two Variables

Richter Scale
6.3 Logarithmic Functions

roots
5.1 Quadratic Functions

rose curve
10.4 Polar Coordinates: Graphs

row matrix
11.5 Matrices and Matrix Operations

row operations
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,
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses

row-echelon form
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination

row-equivalent
11.6 Solving Systems with Gaussian Elimination

S

sample space
13.7 Probability

SAS (side-angle-side) triangle
10.2 Non-right Triangles: Law of Cosines

scatter plot
4.3 Fitting Linear Models to Data

scientific notation
1.2 Exponents and Scientific Notation,
1.2 Exponents and Scientific Notation,
1.2 Exponents and Scientific Notation

secant function
8.2 Graphs of the Other Trigonometric Functions

sector of a circle
7.1 Angles

sequence
13.1 Sequences and Their Notations,
13.1 Sequences and Their Notations,
13.2 Arithmetic Sequences

sine
9.1 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 function
7.3 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 function
8.1 Graphs of the Sine and Cosine Functions

smooth curve
5.2 Power Functions and Polynomial Functions

solution set
2.2 Linear Equations in One Variable,
11.2 Systems of Linear Equations: Three Variables

solving systems of linear equations
11.1 Systems of Linear Equations: Two Variables

special angles
9.2 Sum and Difference Identities

square root property
2.5 Quadratic Equations

SSA (side-side-angle)
10.1 Non-right Triangles: Law of Sines

SSS (side-side-side) triangle
10.2 Non-right Triangles: Law of Cosines

standard form
2.2 Linear Equations in One Variable

standard form of a quadratic function
5.1 Quadratic Functions

stretching/compressing factor
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions

substitution method
11.1 Systems of Linear Equations: Two Variables

sum and difference formulas for cosine
9.2 Sum and Difference Identities

sum and difference formulas for sine
9.2 Sum and Difference Identities

sum and difference formulas for tangent
9.2 Sum and Difference Identities

sum-to-product formulas
9.4 Sum-to-Product and Product-to-Sum Formulas,
9.4 Sum-to-Product and Product-to-Sum Formulas

summation notation
13.4 Series and Their Notations

surface area
5.7 Inverses and Radical Functions

symmetry test
10.4 Polar Coordinates: Graphs

system of equations
11.6 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 equations
4.2 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 equations
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables

system of nonlinear inequalities
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables

system of three equations in three variables
11.8 Solving Systems with Cramer's Rule

T

tangent
7.4 The Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions

tangent function
8.2 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

term of a polynomial function
5.2 Power Functions and Polynomial Functions

terminal side
7.1 Angles

translation
12.1 The Ellipse

transverse axis
12.2 The Hyperbola

trigonometric equations
10.6 Parametric Equations

trigonometric functions
7.4 The Other Trigonometric Functions

trigonometric identities
10.2 Non-right Triangles: Law of Cosines

trinomial
1.4 Polynomials

U

union of two events
13.7 Probability

unit circle
7.1 Angles,
7.2 Right Triangle Trigonometry,
7.3 Unit Circle,
7.3 Unit Circle,
9.5 Solving Trigonometric Equations

unit vector
10.8 Vectors

upper limit of summation
13.4 Series and Their Notations

upper triangular form
11.2 Systems of Linear Equations: Three Variables

V

variable
1.1 Real Numbers: Algebra Essentials

varies inversely
5.8 Modeling Using Variation

vector
10.8 Vectors

vector addition
10.8 Vectors

vertex
5.1 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 function
5.1 Quadratic Functions

vertical asymptote
5.6 Rational Functions,
5.6 Rational Functions,
5.6 Rational Functions,
8.3 Inverse Trigonometric Functions

vertical compression
3.5 Transformation of Functions

vertical line test
3.1 Functions and Function Notation

vertical reflection
3.5 Transformation of Functions

vertical shift
3.5 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 stretch
3.5 Transformation of Functions,
4.1 Linear Functions,
6.4 Graphs of Logarithmic Functions

volume
2.3 Models and Applications

volume of a sphere
5.2 Power Functions and Polynomial Functions

W

X

x-coordinate
2.1 The Rectangular Coordinate Systems and Graphs

Y

y-coordinate
2.1 The Rectangular Coordinate Systems and Graphs