Question 840953
Graph the two lines, 
{{{y=(x-1)-2=x-3}}}
and 
{{{y=-(x-1)-2=-x+1-2=-x-1}}}
.
.
.
{{{graph(300,300,-5,5,-5,5,x-3,-x-1)}}}
.
.
Then chop off the bottom portion.
THe min of the function occurs at x=1 and equals -2.
{{{graph(300,300,-5,5,-5,5,abs(x-1)-2)}}}