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How do you determine if #f(x) = x^2 - x^8# is an even or odd function?

1 Answer

Aug 9, 2016

even

Explanation:

for an even function #f(-x) = f(x)#

for an odd function #f(-x) = - f(x)#

here: #f(-x) = (-x)^2 - (-x)^8 = x^2 - x^8 = f(x)#

So it is even.

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