AP Calculus AB / limits and continuity / Question No. 48

48. Let $f$ be a continuous function on the closed interval $[- 2, 7]$ . If $f (- 2) = 5$ and $f (7) = - 3$ , then the Intermediate Value Theorem guarantees that

f^{'} (c) = 0

for at least one

c

between

- 2

and

7

f^{'} (c) = 0

for at least one

c

between

- 3

and

5

f (c) = 0

for at least one

c

between

- 3

and

5

f (c) = 0

for at least one

c

between

- 2

and

7

Answer is: option4

f (c) = 0

for at least one

c

between

- 2

and

7

Solution:

.

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