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

Cramerâ€™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

Descartesâ€™ 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

Newtonâ€™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