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Marizza181 [45]
3 years ago
6

Prove algebraically what type of function this is (even, odd, or neither).

Mathematics
1 answer:
Kitty [74]3 years ago
4 0

The given function is even.

Solution:

<em>If f(-x) = f(x), then the function is even.</em>

<em>If f(-x) = -f(x), then the function is odd.</em>

Given function:

f(x)=x^{6}-x^{4}

Substitute x = -x

f(-x)=(-x)^{6}-(-x)^{4}

          =x^{6}-x^{4}

          = f(x)   (given)

   f(-x) = f(x)

From the definition, it is even.

Hence the given function is even.

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