F(x) = /x-2/ (absolute value)

Question

Please show me to to graph this equation.

Answer 1

|x| = x if x >= 0
|x| -x if x < 0

So, just graph two lines:

|x-2| = x-2 when x-2 >= 0, or when x >= 2

So, starting at x=2, and going up to the right, graph y=x-2

Starting at x=2, and going up to the left, graph y = 2-x