Answer
a) 2
b) -1
c) $-\infty$
d) $-\infty$
e) $\infty$
f)
Vertical asymptotes: $x=0$, $x=2$
Horizontal asymptotes: $y=-1$, $y=2$
Work Step by Step
a) As x increases toward positive infinity, y tends toward: 2
b) As x decreases toward negative infinity, y tends toward: -1
c) As x moves toward 0, y tends toward: $-\infty$
d) As x moves toward 2 from the left, y tends toward: $-\infty$
e) As x moves toward 2 from the right, y tends toward: $\infty$
f)
We see from parts a-e that the asymptotes occur at:
Vertical asymptotes: $x=0$, $x=2$
Horizontal asymptotes: $y=-1$, $y=2$
