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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
2
x
−
6
f(x)=2x-6
f
(
x
)
=
2
x
−
6
and define
F
(
x
)
=
∫
−
1
x
f
(
t
)
d
t
F(x)=\int_{-1}^{x} f(t)\,dt
F
(
x
)
=
∫
−
1
x
f
(
t
)
d
t
for
−
1
≤
x
≤
5
-1\le x\le5
−
1
≤
x
≤
5
. At which value of
x
x
x
in the interval
[
−
1
,
5
]
[-1,5]
[
−
1
,
5
]
does
F
F
F
attain its minimum? a)
x
=
0
x=0
x
=
0
b)
x
=
5
x=5
x
=
5
c)
x
=
3
x=3
x
=
3
d)
x
=
−
1
x=-1
x
=
−
1
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