Determine whether the function is even, odd, or neither.
-$y = | x - 4 |$
A) Even
B) Neither
C) Odd

Question

Quizplus · Accepted Answer

A function $f(x)$ is even if $f(x) = f(-x)$ for all $x$ in the domain of $f$, and it is odd if $f(-x) = -f(x)$ for all $x$. For the given function $y = |x - 4|$, if we replace $x$ with $-x$, we get $y = |-x - 4|$, which is not equal to $|x - 4|$ (not even) and not equal to $-|x - 4|$ (not odd). Therefore, the function is neither even nor odd.

Determine Whether the Function Is Even, Odd, or Neither y=∣x−4∣y = | x - 4 |y=∣x−4∣

Determine Whether the Function Is Even, Odd, or Neither $y = | x - 4 |$