How do you determine if $f (x) = | x - 1 |$ $f(x) = |x-1|$ is an even or odd function?

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Answer 1 · 2016-05-04T04:25:25

Neither.

f(x) is even or odd according as $f (- x) = \pm f (x)$ $f(-x)=+-f(x)$

$f (- x) = | - x - 1 | = | x + 1 |$ $f(-x) =|-x-1|=|x+1|$ and this is neither f(x) nor $f (- x)$ $f(-x)$

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How do you determine if f(x)=|x−1|f(x) = |x-1| is an even or odd function?