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- Ch 2: Vocab Terms

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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

Views: 13

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

Created: 2011-09-20

Updated: 2011-09-20

Size: 25 flashcards

Views: 13

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