Question

Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = 5x2 - 2

Answer 1

Please use " ^ " to denote exponentiation:

f(x) = 5x^2 - 2

Note that this is equivalent to f(x) = 5x^2 - 2x^0; both powers of x are even.  Because of this fact, the function is EVEN.