A
absolute maximum3.3 Rates of Change and Behavior of Graphs
absolute minimum3.3 Rates of Change and Behavior of Graphs
absolute value function3.2 Domain and Range
absolute value inequality2.7 Linear Inequalities and Absolute Value Inequalities, 2.7 Linear Inequalities and Absolute Value Inequalities
addition method7.1 Systems of Linear Equations: Two Variables, 7.1 Systems of Linear Equations: Two Variables, 7.1 Systems of Linear Equations: Two Variables
Addition Principle9.5 Counting Principles
addition property2.7 Linear Inequalities and Absolute Value Inequalities
algebraic expression1.1 Real Numbers: Algebra Essentials
angle of rotation8.4 Rotation of Axes
annual interest9.4 Series and Their Notations
annual percentage rate (APR)6.1 Exponential Functions
area of a circle5.2 Power Functions and Polynomial Functions
arithmetic sequence9.2 Arithmetic Sequences, 9.2 Arithmetic Sequences, 9.2 Arithmetic Sequences, 9.2 Arithmetic Sequences, 9.4 Series and Their Notations
arithmetic series9.4 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
asymptotes8.2 The Hyperbola
augmented matrix7.6 Solving Systems with Gaussian Elimination, 7.6 Solving Systems with Gaussian Elimination, 7.6 Solving Systems with Gaussian Elimination, 7.7 Solving Systems with Inverses
average rate of change3.3 Rates of Change and Behavior of Graphs
axes of symmetry8.2 The Hyperbola
axis of symmetry5.1 Quadratic Functions, 5.1 Quadratic Functions, 8.3 The Parabola, 8.3 The Parabola
B
binomial coefficient 9.6 Binomial Theorem
Binomial Theorem9.6 Binomial Theorem
break-even point7.1 Systems of Linear Equations: Two Variables
C
carrying capacity6.7 Exponential and Logarithmic Models
Cartesian coordinate system2.1 The Rectangular Coordinate Systems and Graphs
Celsius3.7 Inverse Functions
center of a hyperbola8.2 The Hyperbola
center of an ellipse8.1 The Ellipse
central rectangle8.2 The Hyperbola
circle7.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables
co-vertex8.1 The Ellipse
co-vertices8.1 The Ellipse
coefficient1.4 Polynomials, 1.4 Polynomials, 5.2 Power Functions and Polynomial Functions, 5.5 Zeros of Polynomial Functions
coefficient matrix7.6 Solving Systems with Gaussian Elimination, 7.6 Solving Systems with Gaussian Elimination, 7.7 Solving Systems with Inverses, 7.7 Solving Systems with Inverses
column matrix7.5 Matrices and Matrix Operations
combining functions3.4 Composition of Functions
common base6.6 Exponential and Logarithmic Equations
common logarithm6.3 Logarithmic Functions
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 9.7 Probability
complex conjugate2.4 Complex Numbers
Complex Conjugate Theorem5.5 Zeros of Polynomial Functions
complex number2.4 Complex Numbers
complex plane2.4 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
conic section8.4 Rotation of Axes
conjugate axis8.2 The Hyperbola
consistent system7.1 Systems of Linear Equations: Two Variables
constant function3.2 Domain and Range
continuous5.3 Graphs of Polynomial Functions
continuous function5.2 Power Functions and Polynomial Functions
coordinate plane8.3 The Parabola
correlation coefficient4.3 Fitting Linear Models to Data
Cramer’s Rule7.8 Solving Systems with Cramer's Rule, 7.8 Solving Systems with Cramer's Rule, 7.8 Solving Systems with Cramer's Rule, 7.8 Solving Systems with Cramer's Rule
cubic functions5.7 Inverses and Radical Functions
D
decompose a composite function3.4 Composition of Functions
decomposition7.4 Partial Fractions
decreasing linear function4.1 Linear Functions
degenerate conic sections8.4 Rotation of Axes
dependent system7.1 Systems of Linear Equations: Two Variables, 7.1 Systems of Linear Equations: Two Variables, 7.2 Systems of Linear Equations: Three Variables
dependent variable3.1 Functions and Function Notation
Descartes’ Rule of Signs5.5 Zeros of Polynomial Functions
determinant7.8 Solving Systems with Cramer's Rule, 7.8 Solving Systems with Cramer's Rule, 7.8 Solving Systems with Cramer's Rule
difference of squares1.4 Polynomials
directrix8.3 The Parabola, 8.3 The Parabola, 8.3 The Parabola, 8.3 The Parabola, 8.3 The Parabola, 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates
distance formula2.1 The Rectangular Coordinate Systems and Graphs, 8.2 The Hyperbola, 8.3 The Parabola
distributive property1.1 Real Numbers: Algebra Essentials
diverges9.4 Series and Their Notations
dividend5.4 Dividing Polynomials
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
domain of a composite function3.4 Composition of Functions
doubling time6.7 Exponential and Logarithmic Models
E
electrostatic force3.3 Rates of Change and Behavior of Graphs
ellipse7.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 8.1 The Ellipse, 8.1 The Ellipse, 8.1 The Ellipse, 8.1 The Ellipse, 8.1 The Ellipse, 8.3 The Parabola, 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates
equation in quadratic form2.6 Other Types of Equations
equation in two variables2.1 The Rectangular Coordinate Systems and Graphs
even function3.5 Transformation of Functions
event9.7 Probability
experiment9.7 Probability
explicit formula9.1 Sequences and Their Notations, 9.1 Sequences and Their Notations, 9.1 Sequences and Their Notations, 9.2 Arithmetic Sequences, 9.3 Geometric Sequences
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
factorial9.1 Sequences and Their Notations
factoring2.5 Quadratic Equations
Fahrenheit3.7 Inverse Functions
finite arithmetic sequence9.2 Arithmetic Sequences
finite sequence9.1 Sequences and Their Notations
focus8.1 The Ellipse, 8.3 The Parabola, 8.3 The Parabola, 8.3 The Parabola, 8.3 The Parabola, 8.3 The Parabola, 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates
FOIL1.4 Polynomials
function notation3.1 Functions and Function Notation
Fundamental Counting Principle9.5 Counting Principles
G
Gauss7.2 Systems of Linear Equations: Three Variables, 7.6 Solving Systems with Gaussian Elimination
Gaussian elimination7.2 Systems of Linear Equations: Three Variables, 7.6 Solving Systems with Gaussian Elimination, 7.6 Solving Systems with Gaussian Elimination
general form5.1 Quadratic Functions
general form of a quadratic function5.1 Quadratic Functions
geometric series9.4 Series and Their Notations
graph in two variables2.1 The Rectangular Coordinate Systems and Graphs
H
Heaviside method7.4 Partial Fractions
horizontal compression3.5 Transformation of 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
horizontal stretch3.5 Transformation of Functions
I
identity equation2.2 Linear Equations in One Variable
identity matrix7.7 Solving Systems with Inverses, 7.7 Solving Systems with Inverses, 7.7 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 system7.1 Systems of Linear Equations: Two Variables, 7.1 Systems of Linear Equations: Two Variables, 7.2 Systems of Linear Equations: Three Variables
increasing linear function4.1 Linear Functions
independent system7.1 Systems of Linear Equations: Two Variables
independent variable3.1 Functions and Function Notation
index of summation9.4 Series and Their Notations
infinite geometric sequence9.4 Series and Their Notations
infinite sequence9.1 Sequences and Their Notations
infinite series9.4 Series and Their Notations
interpolation4.3 Fitting Linear Models to Data
intersection9.7 Probability
interval notation2.7 Linear Inequalities and Absolute Value Inequalities, 3.2 Domain and Range, 3.3 Rates of Change and Behavior of Graphs
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 variation5.8 Modeling Using Variation
inverse variations5.8 Modeling Using Variation
inversely proportional5.8 Modeling Using Variation
invertible functions5.7 Inverses and Radical Functions
J
joint variation5.8 Modeling Using Variation
L
least squares regression4.3 Fitting Linear Models to Data
linear equation2.2 Linear Equations in One Variable
linear growth6.1 Exponential Functions
linear relationship4.3 Fitting Linear Models to Data
local extrema3.3 Rates of Change and Behavior of Graphs
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 summation9.4 Series and Their Notations
M
main diagonal7.6 Solving Systems with Gaussian Elimination
major and minor axes8.1 The Ellipse
matrix7.5 Matrices and Matrix Operations, 7.5 Matrices and Matrix Operations, 7.6 Solving Systems with Gaussian Elimination
matrix multiplication7.5 Matrices and Matrix Operations, 7.7 Solving Systems with Inverses, 7.7 Solving Systems with Inverses
matrix operations7.5 Matrices and Matrix Operations
maximum value5.1 Quadratic Functions
midpoint formula2.1 The Rectangular Coordinate Systems and Graphs
minimum value5.1 Quadratic Functions
minor axis8.1 The Ellipse
model breakdown4.3 Fitting Linear Models to Data
modulus3.2 Domain and Range
monomial1.4 Polynomials
Multiplication Principle9.5 Counting Principles
multiplication property2.7 Linear Inequalities and Absolute Value Inequalities
multiplicative inverse of a matrix7.7 Solving Systems with Inverses, 7.7 Solving Systems with Inverses
mutually exclusive events9.7 Probability
N
n factorial9.1 Sequences and Their Notations
natural numbers1.1 Real Numbers: Algebra Essentials, 1.1 Real Numbers: Algebra Essentials, 3.1 Functions and Function Notation
Newton’s Law of Cooling6.7 Exponential and Logarithmic Models
nominal rate6.1 Exponential Functions
nondegenerate conic sections8.4 Rotation of Axes
nonlinear inequality7.3 Systems of Nonlinear Equations and Inequalities: Two Variables
nth partial sum9.4 Series and Their Notations
O
odd function3.5 Transformation of Functions
one-to-one6.2 Graphs of Exponential Functions, 6.3 Logarithmic Functions, 6.5 Logarithmic Properties, 6.5 Logarithmic Properties
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 triple7.2 Systems of Linear Equations: Three Variables
outcomes9.7 Probability
P
parabola5.1 Quadratic Functions, 5.1 Quadratic Functions, 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 8.3 The Parabola, 8.3 The Parabola, 8.3 The Parabola, 8.3 The Parabola, 8.3 The Parabola, 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates
parent function6.4 Graphs of Logarithmic Functions
partial fraction7.4 Partial Fractions
Pascal's Triangle9.6 Binomial Theorem
perfect square trinomial1.4 Polynomials
perimeter2.3 Models and Applications
permutation9.5 Counting Principles
perpendicular2.2 Linear Equations in One Variable
piecewise function3.2 Domain and Range
piecewise functions9.1 Sequences and Their Notations
point-slope form4.1 Linear Functions
polar equation8.5 Conic Sections in Polar Coordinates
polar form of a conic8.5 Conic Sections in Polar Coordinates
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
power function5.2 Power Functions and Polynomial Functions
probability9.7 Probability
probability model9.7 Probability
product of two matrices7.5 Matrices and Matrix Operations
profit function7.1 Systems of Linear Equations: Two Variables
properties of determinants7.8 Solving Systems with Cramer's Rule
Proxima Centauri6.7 Exponential and Logarithmic Models
Q
quadratic equation2.5 Quadratic Equations, 2.5 Quadratic Equations, 2.5 Quadratic Equations, 2.5 Quadratic Equations
quotient5.4 Dividing Polynomials
quotient rule for logarithms6.5 Logarithmic Properties
R
radical equation2.6 Other Types of Equations
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
rational equation2.2 Linear Equations in One Variable
rational expression1.6 Rational Expressions, 2.2 Linear Equations in One Variable, 7.4 Partial Fractions, 7.4 Partial Fractions, 7.4 Partial Fractions
rational number2.2 Linear Equations in One Variable
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
recursive formula9.1 Sequences and Their Notations, 9.2 Arithmetic Sequences, 9.2 Arithmetic Sequences, 9.3 Geometric Sequences
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
remainder5.4 Dividing Polynomials
Remainder Theorem5.5 Zeros of Polynomial Functions
Restricting the domain3.7 Inverse Functions
revenue function7.1 Systems of Linear Equations: Two Variables
Richter Scale6.3 Logarithmic Functions
row matrix7.5 Matrices and Matrix Operations
row operations7.6 Solving Systems with Gaussian Elimination, 7.6 Solving Systems with Gaussian Elimination, 7.6 Solving Systems with Gaussian Elimination, 7.7 Solving Systems with Inverses, 7.7 Solving Systems with Inverses, 7.7 Solving Systems with Inverses, 7.7 Solving Systems with Inverses
row-echelon form7.6 Solving Systems with Gaussian Elimination, 7.6 Solving Systems with Gaussian Elimination, 7.6 Solving Systems with Gaussian Elimination
row-equivalent7.6 Solving Systems with Gaussian Elimination
S
sample space9.7 Probability
scalar multiple7.5 Matrices and Matrix Operations
scalar multiplication7.5 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
sequence9.1 Sequences and Their Notations, 9.1 Sequences and Their Notations, 9.2 Arithmetic Sequences
smooth curve5.2 Power Functions and Polynomial Functions
solving systems of linear equations7.1 Systems of Linear Equations: Two Variables
square root property2.5 Quadratic Equations
standard form2.2 Linear Equations in One Variable
standard form of a quadratic function5.1 Quadratic Functions
substitution method7.1 Systems of Linear Equations: Two Variables
summation notation9.4 Series and Their Notations
surface area5.7 Inverses and Radical Functions
system of equations7.6 Solving Systems with Gaussian Elimination, 7.6 Solving Systems with Gaussian Elimination, 7.6 Solving Systems with Gaussian Elimination, 7.6 Solving Systems with Gaussian Elimination, 7.7 Solving Systems with Inverses
system of linear equations4.2 Modeling with Linear Functions, 7.1 Systems of Linear Equations: Two Variables, 7.1 Systems of Linear Equations: Two Variables, 7.1 Systems of Linear Equations: Two Variables
system of nonlinear equations7.3 Systems of Nonlinear Equations and Inequalities: Two Variables
system of nonlinear inequalities7.3 Systems of Nonlinear Equations and Inequalities: Two Variables
system of three equations in three variables7.8 Solving Systems with Cramer's Rule
T
term of a polynomial function5.2 Power Functions and Polynomial Functions
translation8.1 The Ellipse
transverse axis8.2 The Hyperbola
trinomial1.4 Polynomials
U
union of two events9.7 Probability
upper limit of summation9.4 Series and Their Notations
upper triangular form7.2 Systems of Linear Equations: Three Variables
V
varies inversely5.8 Modeling Using Variation
vertex form of a quadratic function5.1 Quadratic Functions
vertical compression3.5 Transformation of 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
vertical stretch3.5 Transformation of Functions, 4.1 Linear Functions, 6.4 Graphs of Logarithmic Functions
volume of a sphere5.2 Power Functions and Polynomial Functions
X
Y