SOLUTION: Determine algebraically whether the given function is​ even, odd, or neither. f(x)=third root of x.

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Question 1146013: Determine algebraically whether the given function is​ even, odd, or neither.
f(x)=third root of x.
Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


Given: f%28x%29+=+x%5E%281%2F3%29

To test for odd or even symmetry, determine f(-x):

f%28-x%29+=+%28-x%29%5E%281%2F3%29+=+-%28x%5E%281%2F3%29%29+=+-f%28x%29

f(-x) = -f(x) means the function is odd.