The function $f ( x ) = | x |$ is Select all that apply.
A) odd
B) even
C) neither even nor odd
D) continuous on $[ - \pi , \pi ]$
E) discontinuous on $[ - \pi , \pi ]$

Question

Quizplus · Accepted Answer

The function $f(x) = |x|$ is even because $f(-x) = |-x| = |x| = f(x)$ for all $x$, and it is continuous on every interval, including $[-\pi, \pi]$, because there are no points of discontinuity within its domain.

The Function f(x)=∣x∣f ( x ) = | x |f(x)=∣x∣ Is Select All That Apply

The Function $f ( x ) = | x |$ Is Select All That Apply