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Problem
Problem
If
f
(
x
)
f(x)
f
(
x
)
is continuous and differentiable over
[
−
2
,
5
]
[-2, 5]
[
−
2
,
5
]
and
−
4
≤
f
′
(
x
)
≤
3
-4 \le f'(x) \le 3
−
4
≤
f
′
(
x
)
≤
3
for all
x
x
x
in
(
−
2
,
5
)
(-2, 5)
(
−
2
,
5
)
, then the greatest possible value of
∣
f
(
5
)
−
f
(
−
2
)
∣
|f(5) - f(-2)|
∣
f
(
5
)
−
f
(
−
2
)
∣
is a. 7 b. 9 c. 15 d. 21
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