If f'(x)=abs(x-2) draw a possible graph

[martin123]

Homework Statement

If f'(x)=abs(x-2) draw a possible grpah of the original function.

The Attempt at a Solution

I cant remember how to find the antiderivative of an absolute value.
Cant some one please enlight me?

 

[nucloxylon]

http://tutorial.math.lamar.edu/Classes/CalcI/ComputingDefiniteIntegrals.aspx

Example 5

 

[Mark44]

Homework Statement

If f'(x)=abs(x-2) draw a possible grpah of the original function.

The Attempt at a Solution

I cant remember how to find the antiderivative of an absolute value.
Cant some one please enlight me?

|x - 2| = x -2 if x >= 2
and
|x - 2| = -(x -2) if x < 2