LIBRARY OF FUNCTIONSObjectives:

Graph the functions listed in the Library of Functions

Terms• Even Function: Symmetric with y-axis

• Odd Function: Symmetric with origin

• Increasing: for any choice of in the open interval with we have

• Decreasing: for any choice of in the open interval with we have

• Constant: for all choices of x in the interval, the values of are equal

• Local Maximum: if there is an open interval containing c so that for all in the interval,

• Local Minimum: if there is an open interval containing c so that for all in the interval,

, , ,f x f x x y x y

, , ,f x f x x y x y

1 2 and x x 1 2x x

1 2f x f x

1 2 and x x 1 2x x 1 2f x f x

f x

x c f x f c

x c f x f c

Library of Functions

• Linear Function • Constant Function

Library of Functions

• Identity Function•

• Square Function

Library of Functions

• Cube Function • Square Root Function

Library of Functions

• Cube Root Function•

• Reciprocal Function

Library of Functions

• Absolute Value Function

• Greatest Integer Function

Library of Functions• Inverse Square Function