SOLUTION: Determine whether the given function is even, odd, or neither. f(x)=-5x^5 + x^3 Answer choices: A. odd B. Neither C. Even * I was thinking odd but I'm not 100% though.

Algebra ->  Functions -> SOLUTION: Determine whether the given function is even, odd, or neither. f(x)=-5x^5 + x^3 Answer choices: A. odd B. Neither C. Even * I was thinking odd but I'm not 100% though.      Log On


   

Question 349246: Determine whether the given function is even, odd, or neither.
f(x)=-5x^5 + x^3
Answer choices:
A. odd
B. Neither
C. Even
* I was thinking odd but I'm not 100% though.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29=-5x%5E5+%2B+x%5E3
f%28-x%29=-5%28-x%29%5E5+%2B+%28-x%29%5E3
f%28-x%29=5x%5E5-x%5E3=-%28-5x%5E5%2Bx%5E3%29=-f%28x%29
By definition, if
f%28-x%29=-f%28x%29 then the function is odd.