Question

Can someone explain how to choose the correct graph?

http://prntscr.com/bqk2vj

Answer 1

im sorry i dont know

Answer 2

@mathguy5
Easiest way to go about this type of question is to assume values of x, one value for each case (>0 or <0).
Say you choose to find +5 and -5.
So
According to the definition of f(x),
f(x)=-x if x>0, so f(5)=-5
and
f(x)=x if x<0, so f(-5)=-5
Now look at the graphs to see which one satisfies both
f(5)=-5 and f(-5)=-5
and make your choice accordingly.

Answer 3

Thank you very much.