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greatest-integer function

f(x)=int(x)=greatest integer less than or equal to x

square root function

f(x)=√x

reciprocal function

f(x)=1/x

square function

f(x)=x^{2}

identity function

f(x)=x; aka y=x

constant function

f(x)=b; b is a real number

linear function

f(x)=mx+b (m & b are real numbers!)

another name for the greatest-integer function

step function

piecewise-defined function

when functions are defined by more than one equation

the sum f+g is the function defined by

(f+g)(x)= f(x)+g(x)

the difference f-g is the function defined by

(f-g)(x)= f(x)-g(x)

even function formula

f(-x) = f(x)

odd function formula

f(-x) = -f(x)

slope of a secant line theorem

the average rate of change of a function = the slope of the secant line containing 2 points on its graph

constant of proportionality

the number *k*

relation

correspondence between 2 sets

domain of a function

the set X

Vertical-line test

Can be used to see if a graph is a function.

direct proportion formula

y = kx

varitation

how one quantity varies in relation to another quantity

What are 3 ways quantities may vary?

directly, inversely, or jointly

its graph is symmetric with respect to the y-axis

even function

its graph is symmetric with respect to the origin

odd function

reflection about the x-axis

the right side of a function y=f(x) is multiplied by -1, the graph of the new function y= -f(x) is a reflection about the x-axis of y=f(x)

reflection about the y-axis

if the graph of a function is y=f(x), the graph of the function y= f(-x) is the reflection about the y-axis of y=f(x)

About this deck

Author: Jamie S.

Textbook: Precalculus: Enhanced with Graphing Utilities (5th Edition)

Created: 2011-09-20

Updated: 2011-09-20

Size: 25 flashcards

Keywords: flash card flashcards digital flashcards note sharing notes textbook wiki college dorm class classroom exam homework test quiz university college education learn student teachers tutors share, study blue studyblue studyblu

Views: 13

Textbook: Precalculus: Enhanced with Graphing Utilities (5th Edition)

Created: 2011-09-20

Updated: 2011-09-20

Size: 25 flashcards

Keywords: flash card flashcards digital flashcards note sharing notes textbook wiki college dorm class classroom exam homework test quiz university college education learn student teachers tutors share, study blue studyblue studyblu

Views: 13

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