Question

Determine whether the function is even, odd, or neither f(x)=3x^3+5

Answer 1

well, you have an exponent of 3, that means that with -4 you will not get the same value as with positive 4.

therefore it is odd.

Answer 2

f(x)=3x^3+5

f(x)= 3(4)^3+5 = 192+5 = 197
f(x)= 3(-4)^3+5 = -192+5 = -187

if your function had an even exponent of 2, 4, and such then it would have been called an "even function" .