Exercise #9 Even and Odd Functions

Even Functions are A function is said to be even if ( ) ( )f x f x .

Odd functions are A function is said to be odd if ( ) ( )f x f x

Even, odd or neither?

a) 4 2( )f x x x

b) 3 5( )f x x x

c) 4( ) 3f x x

Homework Exercise 9 #4, 5, 6, 10, 15-20

d) 2 5( )f x x x

e) f)

Journal If one point on the function “g” is (–2, 3) and “g” is odd, give a point that is also on the graph g(x). One-to-One Functions

Recall We perform a vertical line test to see whether or not a graph is a function. Function Not a function For a one-to-one function, the horizontal line test can only pass through the graph

________ . Any graph which works for ________ vertical and horizontal line tests is a

one-to-one function.

Even functions are not one-to-one, where as odd functions are one-to-one.

Example

Graph 2( )f x x Graph 3( )f x x