SOLUTION: determine algebraically whether the function is even, odd, or neither even nor odd. f(x)=-5x^5+4x^3

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Question 323647: determine algebraically whether the function is even, odd, or neither even nor odd.
f(x)=-5x^5+4x^3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28-x%29=-5%28-x%29%5E5%2B4%28-x%29%5E3
f%28-x%29=-5%28-%28x%5E5%29%29-4x%5E3
f%28-x%29=5x%5E5-4x%5E3
f%28-x%29=-f%28x%29
The function is odd.
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-5x%5E5%2B4x%5E3%29