Determine algebraically whether the function is even, odd, or neither even nor odd.
-$$f ( x ) = 13 x - 8 | x |$$
A) Even
B) Odd
C) Neither

Question

Quizplus · Accepted Answer

The function $f(x) = 13x - 8|x|$ is neither even nor odd. An even function satisfies $f(-x) = f(x)$, and an odd function satisfies $f(-x) = -f(x)$. For this function, $f(-x) = 13(-x) - 8|-x| = -13x - 8|x|$, which is not equal to $f(x)$ (so it's not even) and not equal to $-f(x)$ (so it's not odd).

Determine Algebraically Whether the Function Is Even, Odd, or Neither f(x)=13x−8∣x∣f ( x ) = 13 x - 8 | x |f(x)=13x−8∣x∣

Determine Algebraically Whether the Function Is Even, Odd, or Neither $f ( x ) = 13 x - 8 | x |$