How do you write #y = | x - 2|# into piecewise functions?

Question

3004 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-02T15:30:13

#y=2-x, x in (-oo, 2] and y=x-2, x in [2, oo)#

The graph of #y=|x-2|# is continuous.

(2, 0) is a node.

The graph for the straight line representing

the piecewise unction #y=2-x, x in (-oo, 2]# of slope - 1,

turns through a right angle at x=2,

for the next piecewise function #y=x-2, x in [2, oo)#,

with slope 1..