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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
10
−
∣
x
−
10
∣
∀
x
∈
[
−
9
,
9
]
f(x)=10-|x-10|\ \forall x\in[-9,9]
f
(
x
)
=
10
−
∣
x
−
10∣
∀
x
∈
[
−
9
,
9
]
, if
M
M
M
and
m
m
m
be the maximum and minimum value of
f
(
x
)
f(x)
f
(
x
)
respectively, then: (a)
M
+
m
=
0
M+m=0
M
+
m
=
0
(b)
2
M
+
m
=
−
9
2M+m=-9
2
M
+
m
=
−
9
(c)
2
M
+
m
=
7
2M+m=7
2
M
+
m
=
7
(d)
M
+
m
=
7
M+m=7
M
+
m
=
7
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