Question

Determine algebraically whether the function is even, odd, or neither even nor odd.
f(x) = -3x^4 - 2x - 5

Answer 1

A function is even if f(-x) = f(x).
It is odd if f(-x) = -f(x).
Try putting some numbers into the function, and then their negatives. What do you get?

Answer 2

even ?

Answer 3

f(1) = 10
f(-1) = -6
But f(-1) does not equal f(1) or -f(1). Thus the function is neither.

Answer 4

Does that help?

Answer 5

oh okay yes ! thanks (:

Answer 6

no problem. :)