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Mathematics
Mathematics
Problem
The graph of a differentiable function
h
h
h
satisfies
lim
x
→
∞
h
(
x
)
=
4
\displaystyle \lim_{x\to\infty} h(x)=4
x
→
∞
lim
h
(
x
)
=
4
,
lim
x
→
−
∞
h
(
x
)
=
4
\displaystyle \lim_{x\to -\infty} h(x)=4
x
→
−
∞
lim
h
(
x
)
=
4
, and
lim
x
→
−
1
h
(
x
)
=
∞
\displaystyle \lim_{x\to -1} h(x)=\infty
x
→
−
1
lim
h
(
x
)
=
∞
. Identify the equations of every horizontal and vertical asymptote of the graph of
h
h
h
.
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