Let f(x)=|x+1|/(x^(2)-1).

Question

Sketch the graph of y=f(x) for -4<=x<=4.

Answer 1

I cant sketch it here.

test the f(x) during the ranges.

try x=-4 is f(x) postive or negative?
try x=-1/2, and +1/2. Test f(x) sign
Now, try x=2

Those will give you the regions of + or - values.