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Is $F (x) = 3 x^{4} - 5$ $F(x) = 3x^4 - 5$ an odd or even function?

1 Answer

Jun 28, 2016

$F (x) = 3 x^{4} - 5$ $F(x)=3x^4-5$ is even

Explanation:

definitions

If $f (- x) = f (x)$ $f(-x)=f(x)$ then the function is even
If $f (- x) = - f (x)$ $f(-x)=-f(x)$ then the function is odd

For $F (x) = 3 x^{4} - 5$ $F(x)=3x^4-5$
$XXX F (- x) = 3 {(- x)}^{4} - 5 = 3 x^{4} - 5 = F (x)$ $color(white)("XXX")F(-x)=3(-x)^4-5=3x^4-5=F(x)$
so $F (x)$ $F(x)$ is even

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