How do you graph $f(x)=abs(x-3)+4$ ?

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Answer 1 · 2015-02-05T12:35:42

Actually there are two graphs

$f(x)=(x-3)+4=x+1$
for all values of $x>=3$
and:
$f(x)=-(x-3)+4=-x+7$
for all values of $x<=3$

The $x=3$ is important, as at that point $x-3$ becomes negative and must be "saved" by the $abs$ -function.

At the value of $x=3$ the two functions meet at $(3,4)$
graph{abs(x-3)+4 [-28.88, 28.85, -14.43, 14.45]}

How do you graph f(x)=abs(x-3)+4f(x)=abs(x-3)+4?