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Mathematics
Mathematics
Problem
A continuous function
f
f
f
is defined by
f
(
x
)
=
{
4
,
1
≤
x
≤
3
,
−
3
,
3
<
x
≤
6
,
2
,
6
<
x
≤
7.
f(x)=\begin{cases}4, & 1\le x\le 3,\\-3, & 3< x\le 6,\\2, & 6< x\le 7.\end{cases}
f
(
x
)
=
⎩
⎨
⎧
4
,
−
3
,
2
,
1
≤
x
≤
3
,
3
<
x
≤
6
,
6
<
x
≤
7.
Let
F
F
F
satisfy
F
′
(
x
)
=
f
(
x
)
F'(x)=f(x)
F
′
(
x
)
=
f
(
x
)
and
F
(
1
)
=
5
F(1)=5
F
(
1
)
=
5
. What is
F
(
7
)
F(7)
F
(
7
)
? a) 4 b) 1 c) 6 d) 9
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