f(x)=|x+1|/(x+1)
How do I graph this function?
remember, $\displaystyle |x| = \left \{ \begin{array}{lr}x & \mbox{ if } x \ge 0 \\ & \\ -x & \mbox{ if } x < 0 \end{array} \right.$
so, $\displaystyle f(x) = \frac {|x + 1|}{x + 1} = \left \{ \begin{array}{lr} \frac {x + 1}{x + 1} = 1 & \mbox{ if } x + 1 \ge 0 \\ & \\ \frac {-(x + 1)}{x + 1} = -1 & \mbox{ if } x + 1 < 0 \end{array} \right.$
can you continue?