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Problem
Problem
Let
f
f
f
be a real valued function defined by
f
(
x
)
=
e
x
−
e
−
∣
x
∣
e
x
+
e
∣
x
∣
f(x)=\frac{e^x-e^{-|x|}}{e^x+e^{|x|}}
f
(
x
)
=
e
x
+
e
∣
x
∣
e
x
−
e
−
∣
x
∣
, then the range of
f
(
x
)
f(x)
f
(
x
)
is: (a)
R
R
R
(b)
[
0
,
1
]
[0, 1]
[
0
,
1
]
(c)
[
0
,
1
)
[0, 1)
[
0
,
1
)
(d)
[
0
,
1
2
)
\left[0, \frac{1}{2}\right)
[
0
,
2
1
)
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