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Mathematics
Problem
Let
f
(
x
)
f(x)
f
(
x
)
be a function with domain
[
0
,
6
]
[0, 6]
[
0
,
6
]
and range
[
−
2
,
4
]
[-2, 4]
[
−
2
,
4
]
. The function is transformed to
g
(
x
)
=
f
(
x
)
+
k
g(x) = f(x) + k
g
(
x
)
=
f
(
x
)
+
k
. If the maximum value of
∣
g
(
x
)
∣
|g(x)|
∣
g
(
x
)
∣
is
10
10
10
, find the two possible values for
k
k
k
.
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