Thread: Odd / Even Functions.

Hi, I have a test on pre calc topics on Monday in my Calc class.
I am reviewing odd and even functions right now.
Here is the problem: True or False: The function f(x)= x^-3 is an odd function.

I have true and this is what i did to prove it:

(-x)^-3 = -x since it equals -x it's odd right?

But then I graphed it on my graphing calculator and it did not look right O_o... am I doing something wrong? Can i be neither?

Originally Posted by habibixox

Hi, I have a test on pre calc topics on Monday in my Calc class.
I am reviewing odd and even functions right now.
Here is the problem: True or False: The function f(x)= x^-3 is an odd function.

I have true and this is what i did to prove it:

(-x)^-3 = -x since it equals -x it's odd right?

But then I graphed it on my graphing calculator and it did not look right O_o... am I doing something wrong? Can i be neither?

if function



function is odd.

if function



function is even.

if function is

and than function is neither odd neither even





so it's odd function


and here you are graph of that odd function