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Mathematics
Mathematics
Problem
Let
f
f
f
be continuous on
[
k
,
k
+
3
]
[k,k+3]
[
k
,
k
+
3
]
and differentiable on
(
k
,
k
+
3
)
(k,k+3)
(
k
,
k
+
3
)
with
−
2
≤
f
′
(
x
)
≤
5
-2\le f'(x)\le 5
−
2
≤
f
′
(
x
)
≤
5
for all
x
x
x
in
(
k
,
k
+
3
)
(k,k+3)
(
k
,
k
+
3
)
. If
f
(
k
)
=
4
f(k)=4
f
(
k
)
=
4
, which of the following could be the value of
f
(
k
+
3
)
f(k+3)
f
(
k
+
3
)
? a)
20
20
20
b)
0
0
0
c)
−
3
-3
−
3
d)
−
4
-4
−
4
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