Question

Determine algebraically whether the function is even, odd, or neither even nor odd.

Answer 1

The function is odd just substitute f(x) for f(-x) and replace all the x's with -x's then go back to the original problem and substitute f(x) for -f(x) and multiply the original problem by -1 and since f(-x) and -f(x) are equal, it is odd. if the original problem, f(x) and f(-x) were equal it would be even and if none of the three are equal it would be neither. the answer to this question is odd because f(-x) and -f(x) are equal.