A

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
7.1 Systems of Linear Equations: Two Variables,
7.1 Systems of Linear Equations: Two Variables,
7.1 Systems of Linear Equations: Two Variables

Addition Principle
9.5 Counting Principles

addition property
2.7 Linear Inequalities and Absolute Value Inequalities

algebraic expression
1.1 Real Numbers: Algebra Essentials

angle of rotation
8.4 Rotation of Axes

annual interest
9.4 Series and Their Notations

annual percentage rate (APR)
6.1 Exponential Functions

annuity
9.4 Series and Their Notations

area of a circle
5.2 Power Functions and Polynomial Functions

arithmetic sequence
9.2 Arithmetic Sequences,
9.2 Arithmetic Sequences,
9.2 Arithmetic Sequences,
9.2 Arithmetic Sequences,
9.4 Series and Their Notations

arithmetic series
9.4 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
8.2 The Hyperbola

augmented matrix
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

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

axes of symmetry
8.2 The Hyperbola

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

B

binomial coefficient
9.6 Binomial Theorem

Binomial Theorem
9.6 Binomial Theorem

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

C

carrying capacity
6.7 Exponential and Logarithmic Models

Cartesian coordinate system
2.1 The Rectangular Coordinate Systems and Graphs

Celsius
3.7 Inverse Functions

center of a hyperbola
8.2 The Hyperbola

center of an ellipse
8.1 The Ellipse

central rectangle
8.2 The Hyperbola

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

co-vertex
8.1 The Ellipse

co-vertices
8.1 The Ellipse

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

coefficient matrix
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

column matrix
7.5 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
9.7 Probability

complex conjugate
2.4 Complex Numbers

Complex Conjugate Theorem
5.5 Zeros of Polynomial Functions

complex number
2.4 Complex Numbers

complex plane
2.4 Complex Numbers

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
8.4 Rotation of Axes

conjugate axis
8.2 The Hyperbola

consistent system
7.1 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

coordinate plane
8.3 The Parabola

correlation coefficient
4.3 Fitting Linear Models to Data

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,
7.8 Solving Systems with Cramer's Rule

cubic functions
5.7 Inverses and Radical Functions

D

decompose a composite function
3.4 Composition of Functions

decomposition
7.4 Partial Fractions

decreasing linear function
4.1 Linear Functions

degenerate conic sections
8.4 Rotation of Axes

dependent system
7.1 Systems of Linear Equations: Two Variables,
7.1 Systems of Linear Equations: Two Variables,
7.2 Systems of Linear Equations: Three Variables

dependent variable
3.1 Functions and Function Notation

Descartes’ Rule of Signs
5.5 Zeros of Polynomial Functions

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

difference of squares
1.4 Polynomials

directrix
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,
8.5 Conic Sections in Polar Coordinates

distance formula
2.1 The Rectangular Coordinate Systems and Graphs,
8.2 The Hyperbola,
8.3 The Parabola

distributive property
1.1 Real Numbers: Algebra Essentials

diverges
9.4 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

domain of a composite function
3.4 Composition of Functions

doubling time
6.7 Exponential and Logarithmic Models

E

electrostatic force
3.3 Rates of Change and Behavior of Graphs

ellipse
7.3 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

ellipsis
9.1 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

event
9.7 Probability

experiment
9.7 Probability

explicit formula
9.1 Sequences and Their Notations,
9.1 Sequences and Their Notations,
9.1 Sequences and Their Notations,
9.2 Arithmetic Sequences,
9.3 Geometric Sequences

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
9.1 Sequences and Their Notations

factoring
2.5 Quadratic Equations

Fahrenheit
3.7 Inverse Functions

finite arithmetic sequence
9.2 Arithmetic Sequences

finite sequence
9.1 Sequences and Their Notations

focus
8.1 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

FOIL
1.4 Polynomials

function notation
3.1 Functions and Function Notation

Fundamental Counting Principle
9.5 Counting Principles

G

Gauss
7.2 Systems of Linear Equations: Three Variables,
7.6 Solving Systems with Gaussian Elimination

Gaussian elimination
7.2 Systems of Linear Equations: Three Variables,
7.6 Solving Systems with Gaussian Elimination,
7.6 Solving Systems with Gaussian Elimination

general form
5.1 Quadratic Functions

general form of a quadratic function
5.1 Quadratic Functions

geometric series
9.4 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

Heaviside method
7.4 Partial Fractions

horizontal compression
3.5 Transformation of Functions

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

horizontal stretch
3.5 Transformation of Functions

I

identity equation
2.2 Linear Equations in One Variable

identity matrix
7.7 Solving Systems with Inverses,
7.7 Solving Systems with Inverses,
7.7 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
7.1 Systems of Linear Equations: Two Variables,
7.1 Systems of Linear Equations: Two Variables,
7.2 Systems of Linear Equations: Three Variables

increasing linear function
4.1 Linear Functions

independent system
7.1 Systems of Linear Equations: Two Variables

independent variable
3.1 Functions and Function Notation

index of summation
9.4 Series and Their Notations

infinite geometric sequence
9.4 Series and Their Notations

infinite sequence
9.1 Sequences and Their Notations

infinite series
9.4 Series and Their Notations

interpolation
4.3 Fitting Linear Models to Data

intersection
9.7 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 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 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

K

Kovalevskaya
Introduction to Analytic Geometry

L

least squares regression
4.3 Fitting Linear Models to Data

linear equation
2.2 Linear Equations in One Variable

linear growth
6.1 Exponential Functions

linear relationship
4.3 Fitting Linear Models to Data

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
9.4 Series and Their Notations

M

main diagonal
7.6 Solving Systems with Gaussian Elimination

major and minor axes
8.1 The Ellipse

matrix
7.5 Matrices and Matrix Operations,
7.5 Matrices and Matrix Operations,
7.6 Solving Systems with Gaussian Elimination

matrix multiplication
7.5 Matrices and Matrix Operations,
7.7 Solving Systems with Inverses,
7.7 Solving Systems with Inverses

matrix operations
7.5 Matrices and Matrix Operations

maximum value
5.1 Quadratic Functions

midpoint formula
2.1 The Rectangular Coordinate Systems and Graphs

minimum value
5.1 Quadratic Functions

minor axis
8.1 The Ellipse

model breakdown
4.3 Fitting Linear Models to Data

modulus
3.2 Domain and Range

monomial
1.4 Polynomials

Multiplication Principle
9.5 Counting Principles

multiplication property
2.7 Linear Inequalities and Absolute Value Inequalities

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

mutually exclusive events
9.7 Probability

N

*n*factorial 9.1 Sequences and Their Notations

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

Newton’s Law of Cooling
6.7 Exponential and Logarithmic Models

nominal rate
6.1 Exponential Functions

nondegenerate conic sections
8.4 Rotation of Axes

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

*n*th partial sum 9.4 Series and Their Notations

O

odd function
3.5 Transformation of Functions

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

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
7.2 Systems of Linear Equations: Three Variables

outcomes
9.7 Probability

P

parabola
5.1 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

parallel
2.2 Linear Equations in One Variable

parent function
6.4 Graphs of Logarithmic Functions

partial fraction
7.4 Partial Fractions

Pascal's Triangle
9.6 Binomial Theorem

perfect square trinomial
1.4 Polynomials

periapsis
8.5 Conic Sections in Polar Coordinates

perimeter
2.3 Models and Applications

permutation
9.5 Counting Principles

perpendicular
2.2 Linear Equations in One Variable

piecewise function
3.2 Domain and Range

piecewise functions
9.1 Sequences and Their Notations

point-slope form
4.1 Linear Functions

polar equation
8.5 Conic Sections in Polar Coordinates

polar form of a conic
8.5 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

power function
5.2 Power Functions and Polynomial Functions

probability
9.7 Probability

probability model
9.7 Probability

product of two matrices
7.5 Matrices and Matrix Operations

profit function
7.1 Systems of Linear Equations: Two Variables

properties of determinants
7.8 Solving Systems with Cramer's Rule

Proxima Centauri
6.7 Exponential and Logarithmic Models

Q

quadratic equation
2.5 Quadratic Equations,
2.5 Quadratic Equations,
2.5 Quadratic Equations,
2.5 Quadratic Equations

quotient
5.4 Dividing Polynomials

quotient rule for logarithms
6.5 Logarithmic Properties

R

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,
7.4 Partial Fractions,
7.4 Partial Fractions,
7.4 Partial Fractions

rational number
2.2 Linear Equations in One Variable

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

recursive formula
9.1 Sequences and Their Notations,
9.2 Arithmetic Sequences,
9.2 Arithmetic Sequences,
9.3 Geometric Sequences

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

revenue function
7.1 Systems of Linear Equations: Two Variables

Richter Scale
6.3 Logarithmic Functions

roots
5.1 Quadratic Functions

row matrix
7.5 Matrices and Matrix Operations

row operations
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,
7.7 Solving Systems with Inverses,
7.7 Solving Systems with Inverses,
7.7 Solving Systems with Inverses

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

row-equivalent
7.6 Solving Systems with Gaussian Elimination

S

sample space
9.7 Probability

scalar multiple
7.5 Matrices and Matrix Operations

scalar multiplication
7.5 Matrices and Matrix Operations

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

sequence
9.1 Sequences and Their Notations,
9.1 Sequences and Their Notations,
9.2 Arithmetic Sequences

smooth curve
5.2 Power Functions and Polynomial Functions

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

square root property
2.5 Quadratic Equations

standard form
2.2 Linear Equations in One Variable

standard form of a quadratic function
5.1 Quadratic Functions

substitution method
7.1 Systems of Linear Equations: Two Variables

summation notation
9.4 Series and Their Notations

surface area
5.7 Inverses and Radical Functions

system of equations
7.6 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 equations
4.2 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 equations
7.3 Systems of Nonlinear Equations and Inequalities: Two Variables

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

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

T

term of a polynomial function
5.2 Power Functions and Polynomial Functions

translation
8.1 The Ellipse

transverse axis
8.2 The Hyperbola

trinomial
1.4 Polynomials

U

union of two events
9.7 Probability

upper limit of summation
9.4 Series and Their Notations

upper triangular form
7.2 Systems of Linear Equations: Three Variables

V

variable
1.1 Real Numbers: Algebra Essentials

varies inversely
5.8 Modeling Using Variation

vertex
5.1 Quadratic Functions,
8.1 The Ellipse,
8.1 The Ellipse,
8.3 The Parabola,
8.3 The Parabola

vertex form of a quadratic function
5.1 Quadratic 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

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

Z

zero-product property
2.5 Quadratic Equations