Question

How do you determine if `f(x)= 5^(sqrt(2x^2-1))` is an even or odd function?

Answer 1

#f-x)=f(x). So, f is an even function.

Explanation:

If `f(-x)=-f(x)`, f is an odd function.

Examples for functions that are neither odd nor even:
x + 1, `e^x` and sin x + cos x.