Question

Determine whether the given function is even, odd, or neither.

f(x)=5x^2+x^4.

Answer 1

a function f is even when f(-x) = f(x)
a function f is odd when f(-x) = - f(x)

so your first step is to find f(-x)
replace every 'x' by '-x'
what do u get ?

Answer 2

A handy trick when doing the f(-x) step: just change the signs of the terms with an odd exponent, and leave the others alone.

Answer 3

This function is even