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

Jan 24, 2017

See V-like graph and explanation.

#### Explanation:

$p \ge 4$

The given equation is the combined equation for the pair of half-

lines from and above ( 1, 4 ).

$p = x - 1 + 4 = x + 3 , x \ge 1$ and

#p=-(x-1)+4=-x+5, x <=1.

graph{|x-1|+4 [-40, 40, -20, 20]}