Question 724087
At which value for x does the sign of x-2 change?  What is the function when x is less than this value?  What is the function when x is greater than this value?


x-2=0
x=2
An important value of f is f(2).  This is where the function sharply changes direction.  {{{x-2<0}}} when {{{x<2}}}.  
{{{x-2>=0}}} when {{{x>=2}}}.


Is this enough for you to now graph {{{f(x)=abs(x-2)}}} on your own or do you want further help?