Question 951300
You said, "... absolute value...".  Do you mean for the example, {{{g(x)=abs(x+2)}}}?


Best approach is, find an alternative textbook!


Use two conditions for your function.  x+2 is non-negative and x+2 is negative.


NON-NEGATIVE
{{{x>=-2}}}----necessary for this condition;
{{{g(x)=x+2}}}
This branch starts at -2, and NOTHING to the left.  Includes point (-2,0), and also (0,2) as you would expect from linear equation in this interval.


NEGATIVE
{{{x<-2}}}-----necessary for this condition;
{{{g(x)=-(x+2)}}}
{{{g(x)=-x-2}}}
No vertical axis intercept here because x=0 NOT in this interval.



Summary of the two parts:
-----------------------------------
{{{g(x)=x+2}}} , {{{x>=-2}}}
-----------------------------------
{{{g(x)=-x-2}}}, {{{x<-2}}}
-----------------------------------


{{{graph(300,300,-5,5,-5,5,abs(x+2))}}}


REMIND:  Absolute Value is never negative.