Homework Help: Algebra Functions

Posted by Soly on Wednesday, September 5, 2007 at 10:26pm.

I dont understand how you determine whether a function is even, odd,or neither.

Here are my problems:

Determine whether the given function is even, odd, or neither.

8. f(x)=x^3-x^2
This is how I did it.
f(-x)=(-x^3)- (-x^2)= (-x)(-x)(-x) - (-x)(-x) = (-x^3) -(x^2)- I got that it was odd

9. f(x)=-4x^5+x^3 This is how I did it:
f(-x)=-4(-x^5) + (-x^3)=4x^5-x^3 - I got that it was neither.

Algebra Functions - drwls, Thursday, September 6, 2007 at 9:14am
8. Both answers are wrong. The #8 f(x) is neither even nor odd. It is the sum of an even term (x^2) and and odd term (x^3). The #9 f(x) is odd. It is the sum of two odd terms.

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