Answer
a) -2
b) 2
c) $\infty$
d) $-\infty$
e)
Horizontal Asymptotes: $y=2$, $y=-2$
Vertical Asymptotes: $x=3$, $x=1$
Work Step by Step
We see from the graph that:
a) As x increases toward positive infinity, y tends toward: -2
b) As x decreases toward negative infinity, y tends toward: 2
c) As x moves toward 1, y tends toward: $\infty$
d) As x moves toward 3, y tends toward: $-\infty$
e)
We see from parts a-d that the asymptotes occur at:
Horizontal Asymptotes: $y=2$, $y=-2$
Vertical Asymptotes: $x=3$, $x=1$