Jay Abramson; Sharon North

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 3.2 Domain and Range, 3.6 Absolute Value Functions

absolute value equation 2.6 Other Types of Equations, 2.6 Other Types of Equations

absolute value function 3.2 Domain and Range

absolute value functions 3.6 Absolute Value Functions, 3.6 Absolute Value Functions

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, 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

apoapsis 8.5 Conic Sections in Polar Coordinates

area 2.3 Models and Applications

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, 9.2 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

augmented matrix form 7.6 Solving Systems with Gaussian Elimination

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

base 1.1 Real Numbers: Algebra Essentials

best fit 6.8 Fitting Exponential Models to Data

binomial 1.4 Polynomials, 5.2 Power Functions and Polynomial Functions, 5.4 Dividing Polynomials

binomial coefficient 9.6 Binomial Theorem

binomial expansion 9.6 Binomial Theorem, 9.6 Binomial Theorem

Binomial Squares Pattern 8.1 The Ellipse

Binomial Theorem 9.6 Binomial Theorem

branch 8.2 The Hyperbola

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 8.1 The Ellipse, 8.2 The Hyperbola

center of a hyperbola 8.2 The Hyperbola

center of an ellipse 8.1 The Ellipse

central rectangle 8.2 The Hyperbola

change-of-base formula 6.5 Logarithmic Properties, 6.5 Logarithmic Properties

circle 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 8.1 The Ellipse

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, 5.2 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 7.5 Matrices and Matrix Operations

column matrix 7.5 Matrices and Matrix Operations

combinations 9.5 Counting Principles, 9.6 Binomial Theorem

combining functions 3.4 Composition of Functions

common base 6.6 Exponential and Logarithmic Equations

common difference 9.2 Arithmetic Sequences, 9.2 Arithmetic Sequences, 9.4 Series and Their Notations

common logarithm 6.3 Logarithmic Functions

common ratio 9.3 Geometric Sequences, 9.3 Geometric Sequences, 9.4 Series and Their Notations

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

completing the square 2.5 Quadratic Equations, 2.5 Quadratic Equations, 8.1 The Ellipse

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 3.4 Composition of Functions, 3.7 Inverse 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 8.1 The Ellipse, 8.2 The Hyperbola, 8.5 Conic Sections in Polar Coordinates

conic section 8.4 Rotation of Axes

conjugate axis 8.2 The Hyperbola, 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

constant of variation 5.8 Modeling Using Variation, 5.8 Modeling Using Variation

continuous 5.3 Graphs of Polynomial Functions

continuous function 5.2 Power Functions and Polynomial Functions

coordinate plane 8.3 The Parabola

Cornell Method 1.5 Factoring Polynomials

correlation coefficient 4.3 Fitting Linear Models to Data

cost function 3.4 Composition of Functions, 7.1 Systems of Linear Equations: Two Variables

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, 7.8 Solving Systems with Cramer's Rule

cube root 5.2 Power Functions and Polynomial Functions

cubic functions 5.7 Inverses and Radical Functions

cues 1.5 Factoring Polynomials

D

decompose a composite function 3.4 Composition of Functions

decomposition 7.4 Partial Fractions

decreasing function 3.3 Rates of Change and Behavior of Graphs, 4.1 Linear Functions

decreasing linear function 4.1 Linear Functions

degenerate conic sections 8.4 Rotation of Axes

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

degree of the polynomial equation 5.5 Zeros of Polynomial Functions

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, 6.1 Exponential Functions

Descartes’ Rule of Signs 5.5 Zeros of Polynomial Functions

determinant 7.7 Solving Systems with Inverses, 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

direct variation 5.8 Modeling Using Variation, 5.8 Modeling Using Variation

directrix 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, 8.3 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

discriminant 2.5 Quadratic Equations, 2.5 Quadratic Equations

Disjoint events 9.5 Counting Principles

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

Distance Formula 8.2 The Hyperbola

distributive property 1.1 Real Numbers: Algebra Essentials

diverges 9.4 Series and Their Notations

dividend 5.4 Dividing Polynomials

Division Algorithm 5.4 Dividing Polynomials, 5.5 Zeros of Polynomial Functions

divisor 5.4 Dividing Polynomials

domain 3.1 Functions and Function Notation, 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, 3.2 Domain and Range, 6.4 Graphs of Logarithmic Functions

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

earthquake intensity 6.7 Exponential and Logarithmic Models

eccentricity 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates

electrostatic force 3.3 Rates of Change and Behavior of Graphs

element 7.5 Matrices and Matrix Operations

elimination 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables

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

end behavior 5.2 Power Functions and Polynomial Functions, 5.6 Rational Functions

endpoint 3.3 Rates of Change and Behavior of Graphs

entry 7.5 Matrices and Matrix Operations, 7.5 Matrices and Matrix Operations

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

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 9.5 Counting Principles, 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, 6.7 Exponential and Logarithmic Models, 6.8 Fitting Exponential Models to Data

exponential equation 6.6 Exponential and Logarithmic Equations

exponential equations 6.6 Exponential and Logarithmic Equations

exponential expression 5.2 Power Functions and Polynomial Functions

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, 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

feasible region 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables

finite arithmetic sequence 9.2 Arithmetic Sequences

finite sequence 9.1 Sequences and Their Notations

fixed mindset 1.4 Polynomials

foci 8.1 The Ellipse, 8.1 The Ellipse, 8.1 The Ellipse, 8.2 The Hyperbola

focus 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 8.1 The Ellipse, 8.2 The Hyperbola, 8.3 The Parabola, 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

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

function 3.1 Functions and Function Notation, 3.1 Functions and Function Notation, 3.2 Domain and Range, 3.2 Domain and Range, 3.4 Composition of Functions, 3.7 Inverse Functions, 4.1 Linear Functions, 9.1 Sequences and Their Notations

function notation 3.1 Functions and Function Notation

Fundamental Counting Principle 9.5 Counting Principles

Fundamental Theorem of Algebra 5.5 Zeros of Polynomial Functions, 5.5 Zeros of Polynomial Functions

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, 5.1 Quadratic Functions

general form of a quadratic function 5.1 Quadratic Functions

general form of the equation of a circle 8.1 The Ellipse

general term 9.1 Sequences and Their Notations

geometric sequence 9.3 Geometric Sequences, 9.3 Geometric Sequences, 9.4 Series and Their Notations

geometric series 9.4 Series and Their Notations

global maximum 5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions

global minimum 5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions

graph in two variables 2.1 The Rectangular Coordinate Systems and Graphs

graphing 3.2 Domain and Range

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

growth mindset 1.4 Polynomials

H

half-life 6.6 Exponential and Logarithmic Equations, 6.7 Exponential and Logarithmic Models

heading 1.5 Factoring Polynomials

Heaviside method 7.4 Partial Fractions

horizontal asymptote 5.6 Rational Functions, 5.6 Rational Functions, 5.6 Rational Functions

horizontal compression 3.5 Transformation of Functions

horizontal line 2.2 Linear Equations in One Variable, 4.1 Linear Functions, 4.1 Linear Functions

horizontal line test 3.1 Functions and Function Notation, 3.7 Inverse Functions

horizontal reflection 3.5 Transformation of Functions

horizontal shift 3.5 Transformation of Functions, 6.2 Graphs of Exponential Functions, 6.2 Graphs of Exponential Functions, 6.4 Graphs of Logarithmic Functions

horizontal stretch 3.5 Transformation of Functions

hyperbola 8.2 The Hyperbola, 8.2 The Hyperbola, 8.2 The Hyperbola, 8.2 The Hyperbola, 8.2 The Hyperbola, 8.2 The Hyperbola, 8.2 The Hyperbola, 8.2 The Hyperbola, 8.2 The Hyperbola, 8.3 The Parabola, 8.5 Conic Sections in Polar Coordinates, 8.5 Conic Sections in Polar Coordinates

I

icons 1.5 Factoring Polynomials

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

illustrations 1.5 Factoring Polynomials

imaginary number 2.4 Complex Numbers

Imaginary numbers 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 function 3.3 Rates of Change and Behavior of Graphs, 4.1 Linear Functions

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, 6.1 Exponential Functions

index 1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents

index of summation 9.4 Series and Their Notations

inequality 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables

infinite geometric sequence 9.4 Series and Their Notations

infinite sequence 9.1 Sequences and Their Notations, 9.1 Sequences and Their Notations

infinite series 9.4 Series and Their Notations

input 3.1 Functions and Function Notation

integers 1.1 Real Numbers: Algebra Essentials, 1.1 Real Numbers: Algebra Essentials

intercepts 2.1 The Rectangular Coordinate Systems and Graphs

Intermediate Value Theorem 5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions

interpolation 4.3 Fitting Linear Models to Data

intersection 9.7 Probability

interval 2.7 Linear Inequalities and Absolute Value Inequalities

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

inverse function 3.7 Inverse Functions, 5.7 Inverses and Radical Functions

inverse matrix 7.7 Solving Systems with Inverses, 7.7 Solving Systems with Inverses

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

inverses 3.7 Inverse Functions

invertible functions 5.7 Inverses and Radical Functions

invertible matrix 7.7 Solving Systems with Inverses, 7.8 Solving Systems with Cramer's Rule

irrational numbers 1.1 Real Numbers: Algebra Essentials, 1.1 Real Numbers: Algebra Essentials

J

Johnson 8.3 The Parabola

joint variation 5.8 Modeling Using Variation

K

knowledge space 1.3 Radicals and Rational Exponents

Kovalevskaya Introduction to Analytic Geometry

L

latus rectum 8.3 The Parabola, 8.3 The Parabola, 8.3 The Parabola, 8.3 The Parabola

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

leading term 1.4 Polynomials, 1.4 Polynomials, 5.2 Power Functions and Polynomial Functions

learning sciences 1.3 Radicals and Rational Exponents

least common denominator 1.6 Rational Expressions, 2.2 Linear Equations in One Variable

least squares regression 4.3 Fitting Linear Models to Data

left column 1.5 Factoring Polynomials

linchpin topics 1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents

linear 4.3 Fitting Linear Models to Data

linear equation 2.2 Linear Equations in One Variable

linear equation with three variables 7.2 Systems of Linear Equations: Three Variables

Linear Factorization Theorem 5.5 Zeros of Polynomial Functions, 5.5 Zeros of Polynomial Functions

linear function 4.1 Linear Functions, 4.1 Linear Functions

Linear functions 4.1 Linear Functions

linear growth 6.1 Exponential Functions

linear model 4.2 Modeling with Linear Functions, 4.3 Fitting Linear Models to Data

Linear Regression Model 6.8 Fitting Exponential Models to Data

linear relationship 4.3 Fitting Linear Models to Data

local extrema 3.3 Rates of Change and Behavior of Graphs

local maximum 3.3 Rates of Change and Behavior of Graphs, 5.3 Graphs of Polynomial Functions

local minimum 3.3 Rates of Change and Behavior of Graphs, 5.3 Graphs of Polynomial Functions

logarithm 6.3 Logarithmic Functions

logarithmic equation 6.6 Exponential and Logarithmic Equations

Logarithmic Function 6.7 Exponential and Logarithmic Models

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

magnitude 3.2 Domain and Range, 3.5 Transformation of Functions

main diagonal 7.6 Solving Systems with Gaussian Elimination

major and minor axes 8.1 The Ellipse

major axis 8.1 The Ellipse, 8.1 The Ellipse

matrix 7.5 Matrices and Matrix Operations, 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

Maxwell Introduction to Analytic Geometry

midpoint formula 2.1 The Rectangular Coordinate Systems and Graphs

mind map 1.5 Factoring Polynomials

minimum value 5.1 Quadratic Functions

minor axis 8.1 The Ellipse

minor of an entry 7.7 Solving Systems with Inverses

model breakdown 4.3 Fitting Linear Models to Data

modulus 3.2 Domain and Range

monomial 1.4 Polynomials, 5.2 Power Functions and Polynomial Functions

Multiplication Principle 9.5 Counting Principles, 9.5 Counting Principles

multiplication property 2.7 Linear Inequalities and Absolute Value Inequalities

multiplicative inverse 7.7 Solving Systems with Inverses, 7.7 Solving Systems with Inverses

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

multiplicity 5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions

mutually exclusive 9.5 Counting Principles

mutually exclusive events 9.7 Probability

N

n factorial 9.1 Sequences and Their Notations

natural exponential function 6.1 Exponential Functions

natural logarithm 6.3 Logarithmic Functions, 6.6 Exponential and Logarithmic Equations

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

negative association 4.3 Fitting Linear Models to Data

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

notes during class 1.5 Factoring Polynomials

Notice 8.2 The Hyperbola

nth partial sum 9.4 Series and Their Notations

nth term of the sequence 9.1 Sequences and Their Notations, 9.1 Sequences and Their Notations, 9.1 Sequences 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

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

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, 7.2 Systems of Linear Equations: Three Variables

origin 2.1 The Rectangular Coordinate Systems and Graphs, 3.6 Absolute Value Functions

outcome 9.5 Counting Principles

outcomes 9.7 Probability

output 3.1 Functions and Function Notation

P

parabola 5.1 Quadratic Functions, 5.1 Quadratic Functions, 5.1 Quadratic Functions, 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 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, 8.3 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

parallel lines 4.1 Linear Functions, 4.1 Linear Functions

parent function 6.4 Graphs of Logarithmic Functions

partial fraction 7.4 Partial Fractions

partial fraction decomposition 7.4 Partial Fractions, 7.4 Partial Fractions

Pascal's Triangle 9.6 Binomial Theorem

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

perpendicular lines 4.1 Linear Functions, 4.1 Linear Functions

pH 6.5 Logarithmic Properties

piecewise function 3.2 Domain and Range

piecewise functions 9.1 Sequences and Their Notations

plane 7.2 Systems of Linear Equations: Three Variables

point-slope form 4.1 Linear Functions

point-slope formula 2.2 Linear Equations in One Variable, 8.2 The Hyperbola

polar equation 8.5 Conic Sections in Polar Coordinates

polar form of a conic 8.5 Conic Sections in Polar Coordinates

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

polynomial equation 2.6 Other Types of Equations, 5.5 Zeros of Polynomial Functions

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 association 4.3 Fitting Linear Models to Data

power function 5.2 Power Functions and Polynomial Functions, 5.2 Power Functions and Polynomial Functions

Power Property 6.5 Logarithmic Properties

power rule for logarithms 6.5 Logarithmic Properties, 6.5 Logarithmic Properties

principal nth root 1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents

principal square root 1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents

probability 9.7 Probability

probability model 9.7 Probability, 9.7 Probability

probability of an event 9.7 Probability

product of two matrices 7.5 Matrices and Matrix Operations

Product Property 6.5 Logarithmic Properties

product rule for logarithms 6.5 Logarithmic Properties, 6.5 Logarithmic Properties

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

Pythagorean Theorem 2.1 The Rectangular Coordinate Systems and Graphs, 2.5 Quadratic Equations

Q

quadrant 2.1 The Rectangular Coordinate Systems and Graphs

quadratic 7.4 Partial Fractions, 7.4 Partial Fractions

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

quadratic formula 2.5 Quadratic Equations, 2.5 Quadratic Equations, 2.5 Quadratic Equations

quadratic function 5.1 Quadratic Functions, 5.1 Quadratic Functions, 5.1 Quadratic Functions, 5.1 Quadratic Functions

quotient 5.4 Dividing Polynomials

Quotient Property 6.5 Logarithmic Properties

quotient rule for logarithms 6.5 Logarithmic Properties

R

radical 1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents

radical equation 2.6 Other Types of Equations

radical expression 1.3 Radicals and Rational Exponents, 1.3 Radicals and Rational Exponents

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

radius 8.1 The Ellipse

range 3.1 Functions and Function Notation, 3.1 Functions and Function Notation, 3.2 Domain and Range, 6.4 Graphs of Logarithmic Functions

rate of change 3.3 Rates of Change and Behavior of Graphs, 4.2 Modeling with Linear Functions

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 function 5.6 Rational Functions, 5.6 Rational Functions, 5.6 Rational Functions

rational number 2.2 Linear Equations in One Variable

rational numbers 1.1 Real Numbers: Algebra Essentials, 1.1 Real Numbers: Algebra Essentials

Rational Zero Theorem 5.5 Zeros of Polynomial Functions, 5.5 Zeros of Polynomial Functions

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

Reflect 1.5 Factoring Polynomials

reflection 6.2 Graphs of Exponential Functions, 6.4 Graphs of Logarithmic Functions

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, 3.1 Functions and Function Notation, 3.2 Domain and Range

remainder 5.4 Dividing Polynomials

Remainder Theorem 5.5 Zeros of Polynomial Functions

removable discontinuity 5.6 Rational Functions, 5.6 Rational Functions

Restricting the domain 3.7 Inverse Functions

revenue function 7.1 Systems of Linear Equations: Two Variables

Richter Scale 6.3 Logarithmic Functions

right section 1.5 Factoring Polynomials

roots 5.1 Quadratic Functions

roster notation 9.7 Probability

row 7.5 Matrices and Matrix Operations

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, 7.6 Solving Systems with Gaussian Elimination

row-equivalent 7.6 Solving Systems with Gaussian Elimination

S

sample space 9.7 Probability

sample space S 9.7 Probability

scalar 7.5 Matrices and Matrix Operations

scalar multiple 7.5 Matrices and Matrix Operations, 7.5 Matrices and Matrix Operations

scalar multiplication 7.5 Matrices and Matrix Operations

scatter plot 4.3 Fitting Linear Models to Data

Scatter Plot 6.8 Fitting Exponential Models to Data

scatterplot 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, 9.1 Sequences and Their Notations, 9.2 Arithmetic Sequences

series 9.4 Series and Their Notations, 9.4 Series and Their Notations

set-builder notation 2.7 Linear Inequalities and Absolute Value Inequalities, 3.2 Domain and Range

sigma 9.4 Series and Their Notations

slope 2.2 Linear Equations in One Variable, 3.3 Rates of Change and Behavior of Graphs, 4.1 Linear Functions

slope-intercept 4.1 Linear Functions

slope-intercept form 4.1 Linear Functions, 4.1 Linear Functions, 4.1 Linear Functions

smooth curve 5.2 Power Functions and Polynomial Functions

solution set 2.2 Linear Equations in One Variable, 7.2 Systems of Linear Equations: Three Variables

Solutions 7.2 Systems of Linear Equations: Three Variables

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

square matrix 7.5 Matrices and Matrix Operations, 7.7 Solving Systems with Inverses, 7.8 Solving Systems with Cramer's Rule

square root property 2.5 Quadratic Equations, 8.1 The Ellipse

square trinomial 8.1 The Ellipse

standard form 2.2 Linear Equations in One Variable

standard form of a quadratic function 5.1 Quadratic Functions

standard or graphing form 8.1 The Ellipse

stretch 6.2 Graphs of Exponential Functions

subsets 1.3 Radicals and Rational Exponents

substitution method 7.1 Systems of Linear Equations: Two Variables

summarizing the important concepts 1.5 Factoring Polynomials

summary 1.5 Factoring Polynomials

summation notation 9.4 Series and Their Notations, 9.4 Series and Their Notations

surface area 5.7 Inverses and Radical Functions

symmetric 5.1 Quadratic Functions

synthetic division 5.4 Dividing Polynomials, 5.5 Zeros of Polynomial 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 5.2 Power Functions and Polynomial Functions, 9.1 Sequences and Their Notations, 9.1 Sequences and Their Notations, 9.2 Arithmetic Sequences

term of a polynomial 1.4 Polynomials, 1.4 Polynomials

term of a polynomial function 5.2 Power Functions and Polynomial Functions

test questions 1.5 Factoring Polynomials

The loudness level, D 6.7 Exponential and Logarithmic Models

transformation 3.5 Transformation of Functions, 4.1 Linear Functions

transformations 3.5 Transformation of Functions

translation 8.1 The Ellipse

transverse axis 8.2 The Hyperbola, 8.2 The Hyperbola

trinomial 1.4 Polynomials, 5.2 Power Functions and Polynomial Functions

turning point 5.2 Power Functions and Polynomial Functions, 5.3 Graphs of Polynomial Functions

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 directly 5.8 Modeling Using Variation, 5.8 Modeling Using Variation

varies inversely 5.8 Modeling Using Variation

vertex 5.1 Quadratic Functions, 5.1 Quadratic Functions, 8.1 The Ellipse, 8.1 The Ellipse, 8.2 The Hyperbola, 8.3 The Parabola, 8.3 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

vertical compression 3.5 Transformation of Functions

vertical line 2.2 Linear Equations in One Variable, 4.1 Linear Functions, 4.1 Linear Functions

vertical line test 3.1 Functions and Function Notation, 3.7 Inverse Functions

vertical reflection 3.5 Transformation of Functions

vertical shift 3.5 Transformation of Functions, 4.1 Linear Functions, 6.2 Graphs of Exponential Functions, 6.2 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

vertices 8.1 The Ellipse, 8.1 The Ellipse

volume 2.3 Models and Applications

volume of a sphere 5.2 Power Functions and Polynomial Functions

W

whole numbers 1.1 Real Numbers: Algebra Essentials, 1.1 Real Numbers: Algebra Essentials

X

x-axis 2.1 The Rectangular Coordinate Systems and Graphs

x-coordinate 2.1 The Rectangular Coordinate Systems and Graphs

x-intercept 2.1 The Rectangular Coordinate Systems and Graphs, 4.1 Linear Functions

x

-intercept 5.6 Rational Functions

Y

y-axis 2.1 The Rectangular Coordinate Systems and Graphs

y-coordinate 2.1 The Rectangular Coordinate Systems and Graphs

y-intercept 2.1 The Rectangular Coordinate Systems and Graphs, 4.1 Linear Functions

y

-intercept 5.6 Rational Functions

Z

Zero Product Property 5.3 Graphs of Polynomial Functions

zero-product property 2.5 Quadratic Equations

zeros 5.1 Quadratic Functions, 5.3 Graphs of Polynomial Functions, 5.3 Graphs of Polynomial Functions, 5.5 Zeros of Polynomial Functions

Zeros of the Function 5.5 Zeros of Polynomial Functions

Index