Work Step by Step
To find $f(-x)$, replace $x$ with $-x$ to get $f(-x)=|-x|=|x|$. Since $f(x)=|x|$, $f(x)=f(-x)$ and by the definition of an even function, this function is even.
You can help us out by revising, improving and updating this answer.Update this answer
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.