## Index Index

absolute value function, Definition

approaching \(0\), Paragraph

average rate of change, Definition

of position, Paragraph

units, Paragraph

average velocity, Paragraph

Bezier curves, Paragraph

circular cylinder

surface area, Paragraph

volume, Paragraph

circular function, Paragraph

amplitude, Paragraph

midline, Paragraph

range, Paragraph

circular functions, Subsection

composite function, Definition

continuously compounded interest, Item

cosecant function, Definition

cosine function, Definition

cotangent function, Definition

e, Definition

exponential function

base, Definition

doubling time, Exercise

exponential decay, Paragraph

growth factor, Paragraph

growth rate, Paragraph

with the natural base, \(e\), Definition

exponential growth

introduction, Paragraph

function

codomain, Definition

definition, Definition

dependent variable, Paragraph

domain, Definition

exponential, Definition

graph, Definition

independent variable, Paragraph

introduction to, Paragraph

notation, Paragraph

periodic, Definition

range, Definition

function arithmetic

difference of, Definition

product of, Definition

quotient of, Definition

sum of, Definition

function trends

concave down, Definition

concave up, Definition

decreasing, Definition

increasing, Definition

fundamental trigonometric identity, Paragraph Assemblage

increasing

without bound, Paragraph

increasing without bound, Definition

infinity, Paragraph

inverse function

definition, Definition

horizontal line test, Assemblage

notation, Paragraph

two perspectives, Assemblage

inverse trigonometric functions

arccosine, Definition

arcsine, Definition

arctangent, Definition

limit

involving infinity, Definition

line

\(y\)-intercept, Paragraph

point-slope form, Assemblage

slope-intercept form, Assemblage

linear function, Definition

slope, Definition

logarithm

base \(10\)

definition, Definition

base-\(b\)

definition, Exercise

natural

definition, Definition

of a product, Assemblage

of a quotient, Assemblage

logistic function, Paragraph

natural base, \(e\), Definition

Newton's Law of Cooling, Paragraph

parabola, Paragraph

vertex, Assemblage

period, Definition

point-slope form, Paragraph

polynomial

coefficients, Definition

degree, Definition

long-range behavior, Assemblage

multiple zeros, Assemblage

number of turning points, Assemblage

terms, Definition

zero, Definition

zero of multiplicity \(n\), Paragraph

polynomial function, Definition

zero, Item

power function, Definition

Pythagorean Theorem, Paragraph

quadratic formula, Assemblage

quadratic function, Paragraph

vertex, Assemblage

vertex form, Assemblage

x-intercepts, Paragraph

y-intercept, Paragraph

radian, Item

radian measure

definition of, Definition

rational function, Definition

domain, Assemblage

hole, Paragraph

long-term behavior, Assemblage

rectangular box

surface area, Paragraph

volume, Paragraph

secant function, Definition

sign chart, Paragraph

similar triangles, Paragraph

sine function, Definition

sinusoidal function

anchor point, Paragraph

sum of two angles identity, Paragraph

surface area

box, Paragraph

cylinder, Paragraph

tangent function, Definition

transformation of a function, Paragraph

horizontal translation, Assemblage

vertical scaling, Assemblage

vertical translation, Assemblage

trigonometry, Paragraph

turning point, Item

unit circle, Paragraph

vertical asymptote, Paragraph

vertical line test, Assemblage

volume

box, Paragraph

cone, Paragraph

cylinder, Paragraph

Zero Product Property, Paragraph