Symmetry of Functions

CAT 1993 Slot 1 · QA · Easy · QA

A function $f(x)$ is said to be even if $f(-x)=f(x)$ , and odd if $f(-x) = -f(x)$ . The function given by $f(x) = |x|^3$ is

Answer

$f(-x) = |-x|^3 = |x|^3 = f(x)$ . Thus $f(x)$ is an even function.

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