AP Calculus AB Quiz
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LIMITS AND CONTINUITY
Question 1
of 20
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A continuous function
m
m
m
satisfies
m
(
2
)
=
2
m(2)=\sqrt{2}
m
(
2
)
=
2
and
m
(
8
)
=
5
m(8)=5
m
(
8
)
=
5
. Which statement must be true?
A
There exists
c
∈
(
2
,
8
)
c\in(2,8)
c
∈
(
2
,
8
)
such that
m
(
c
)
=
2
m(c)=\sqrt{2}
m
(
c
)
=
2
.
B
There exists
c
∈
(
2
,
8
)
c\in(2,8)
c
∈
(
2
,
8
)
such that
m
(
c
)
=
6
m(c)=6
m
(
c
)
=
6
.
C
There exists
c
∈
(
2
,
8
)
c\in(2,8)
c
∈
(
2
,
8
)
such that
m
(
c
)
=
1
2
m(c)=\tfrac{1}{2}
m
(
c
)
=
2
1
.
D
There exists
c
∈
(
2
,
8
)
c\in(2,8)
c
∈
(
2
,
8
)
such that
m
(
c
)
=
26
m(c)=\sqrt{26}
m
(
c
)
=
26
.
E
There exists
c
∈
(
2
,
8
)
c\in(2,8)
c
∈
(
2
,
8
)
such that
m
(
c
)
=
3
m(c)=3
m
(
c
)
=
3
.
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