How do you determine if $f(x)= x^4 - 4x^2$ is an even or odd function?

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Answer 1 · 2018-03-21T16:25:13

$f(x)" is even"$

a function is odd if

$f(-x)=-f(x)$

a function is even if

$f(-x)=f(x)$

$f(x)=x^4-4x^2$

$f(-x)=(-x)^4-4(-x)^2$

$f(-x)=x^4-4x^2=f(x)$

$:. f(x)" is even"$

How do you determine if f(x)= x^4 - 4x^2f(x)= x^4 - 4x^2 is an even or odd function?