Question

Which characteristic is correct for the function

Answer 1

Answer:

This is an even function.

Step-by-step explanation:

$\text{If}\ f(-x)=f(x)\ \text{then}\ f(x)\ \text{is an even function.}\\\\\text{If}\ f(-x)=-f(x)\ \text{then}\ f(x)\ \text{is an odd function.}$

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$f(x)=-3x^4+7x^2\\\\f(-x)=-3(-x)^4+7(-x)^2=-3x^4+7x^2\\\\f(-x)=f(x)$

Answer 2

Answer:

Even function

Step-by-step explanation:

Both powers of x in f(x) = -3x^4 + 7x^2 are even, so f(x) = -3x^4 + 7x^2 is an even function.