Even and Odd Functions
Walkthrough
Video
Flash interactive examples
Examples
Here is a guide to clarify an example of this function
Determine whether the function x^3+2x^2 is even, odd, or neither.
First, check to see if it’s even using this equation:
f(x)=f(-x)
x^3 +2x^2 =(-x)^3+2(-x)^2
x^3 +2x^2 does not equal -x^3 +2x^2
The function is not even
Now check to see if it’s odd using this equation:
-f(x)=f(-x)
-(x^3 +2x^2 )=(-x)^3+2(-x)^2
-x^3 -2x^2 does not equal -x^3 +2x^2
The function is not odd
Since this function is not odd or even, it must be classified as neither.
Walkthrough
Video
Flash interactive examples
Examples
Here is a guide to clarify an example of this function
Determine whether the function x^3+2x^2 is even, odd, or neither.
First, check to see if it’s even using this equation:
f(x)=f(-x)
x^3 +2x^2 =(-x)^3+2(-x)^2
x^3 +2x^2 does not equal -x^3 +2x^2
The function is not even
Now check to see if it’s odd using this equation:
-f(x)=f(-x)
-(x^3 +2x^2 )=(-x)^3+2(-x)^2
-x^3 -2x^2 does not equal -x^3 +2x^2
The function is not odd
Since this function is not odd or even, it must be classified as neither.