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Mathematics
Mathematics
Problem
Statement I
Range of
f
(
x
)
=
x
(
e
2
x
−
e
−
2
x
e
2
x
+
e
−
2
x
)
+
x
2
+
x
4
f(x) = x \left( \frac{e^{2x} - e^{-2x}}{e^{2x} + e^{-2x}} \right) + x^2 + x^4
f
(
x
)
=
x
(
e
2
x
+
e
−
2
x
e
2
x
−
e
−
2
x
)
+
x
2
+
x
4
is not
R
R
R
.
Statement II
Range of a continuous even function cannot be
R
R
R
.
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