Question

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

f(x) = -9 x3 + 8x

Answer 1

both exponents are ...

Answer 2

odd

Answer 3

bingo

Answer 4

That is not an "algebraic" solution.

Answer 5

so wait you dont't have to do that long algebraic stuff?

Answer 6

on the other hand, that is not what your math teacher wants you to say

Answer 7

haha true thats what I thought but she doesnt need to see my work lol

Answer 8

yeah your math teacher wants you to compute
\[f(-x)\] and show that it is \(-f(x)\)

Answer 9

\[f(-x)=-9(-x)^3+8(-x)=\text{ some algebra}=-(-9x^3+8x)=-f(x)\]

Answer 10

yeah haha I like the easy way but thanks!

Answer 11

yw