How do you write write $f(x)=|x-4|$ as a piecewise function?

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Answer 1 · 2016-04-10T05:49:55

$f(x)=x-4, x>=4 and f(x)=-(x-4), x<=4$ , representing radial lines from [4, 0], with slopes $+-1$ . It is implicit that $f(x)>=0$ ... .

$f(x)=|x-4|$ is the combined equation for the half-line equations $f(x) = x-4, x>=4 and f(x)=4-x, x<=4$ .
Note that $f(x)>=0$ ..

How do you write write f(x)=|x-4|f(x)=|x-4| as a piecewise function?