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Mathematics
Mathematics
Problem
Consider
h
(
x
)
=
{
x
2
+
1
,
x
<
3
2
x
−
2
,
x
≥
3
h(x)= \begin{cases} x^{2}+1, & x<3\\[4pt] 2x-2, & x\ge 3 \end{cases}
h
(
x
)
=
{
x
2
+
1
,
2
x
−
2
,
x
<
3
x
≥
3
On
[
1
,
5
]
[1,5]
[
1
,
5
]
, can the Intermediate Value Theorem be applied to guarantee a value
c
c
c
such that
h
(
c
)
=
8
h(c)=8
h
(
c
)
=
8
? Answer "yes" or "no" and give a brief reason.
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