How do you write f(x) = 4 |x-3|f(x)=4|x−3| as piecewise functions?

1 Answer
Alan P.
Jun 13, 2017

f(x)={(4x-12color(white)("xxx") if x>= 3),(12-4xcolor(white)("xxx")if x < 3):}

Explanation:

If x >= 3 then abs(x-3)=x-3
color(white)("XXX")rArr 4abs(x-3)=4(x-3)=4x-12

If x < 3 then abs(x-3) = -(x-3)=3-x
color(white)("XXX")rArr 4abs(x-3)=4(3-x)=12-4x

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