Question

How would you graph f(x)=|x+2|÷(x+2) without a calculator?

Answer 1

F(x) = {x+2/x+2 , x>-2
-(x+2)/x+2 , x<-2
F(x) = { 1 , x>-2
-1 , x<-2

Then find the points (-2,1) & (-2,-1 ) on the graph .

(-2,1) the x>-2 going right.
(-2,-1) the x<-2 going left .

Answer 2

well, do algebra first. So, x+2/X+2 wouldn't that cancel out to 1.... So f(x) = 1 and no need for a calculator!

Hope this helps!