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

1 Answer
A. S. Adikesavan
Apr 10, 2016

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

Explanation:

f(x)=|x-4|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<=4f(x)=x−4,x≥4andf(x)=4−x,x≤4.
Note that f(x)>=0f(x)≥0..

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