Question

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

Answer 1

`F(x)=3x^4-5` is even

Explanation:

definitions

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

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