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Mathematics
Problem
Sketch the graph of a function
h
h
h
that satisfies all the following conditions: •
lim
x
→
2
−
h
(
x
)
=
1
\displaystyle \lim_{x\to 2^-} h(x)=1
x
→
2
−
lim
h
(
x
)
=
1
•
lim
x
→
2
+
h
(
x
)
=
4
\displaystyle \lim_{x\to 2^+} h(x)=4
x
→
2
+
lim
h
(
x
)
=
4
•
h
(
2
)
=
4
h(2)=4
h
(
2
)
=
4
•
h
h
h
is continuous for all real
x
x
x
except at
x
=
2
x=2
x
=
2
. A rough, clearly labeled sketch is sufficient.
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