How do you write $p(x) = |x-1| +4$ as a piecewise function?

Question

1233 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-05T01:34:24

$p(x)={(x+3,,x>=1),(5-x,,x<1):}$

If $abs(x-1)>=0rarr x>=1$
then $abs(x-1)+4 = (x-1)+4=x+3$

If $abs(x-1) < 0 rarr x < 1$
then $abs(x-1)+4 = (1-x)+4 =5-x$

How do you write p(x) = |x-1| +4p(x) = |x-1| +4 as a piecewise function?