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Problem
Problem
If
f
(
x
)
=
x
3
+
b
x
2
+
c
x
+
d
f(x) = x^3 + bx^2 + cx + d
f
(
x
)
=
x
3
+
b
x
2
+
c
x
+
d
and
0
<
b
2
<
c
0 < b^2 < c
0
<
b
2
<
c
, then in
(
−
∞
,
∞
)
(-\infty, \infty)
(
−
∞
,
∞
)
a.
f
(
x
)
f(x)
f
(
x
)
is strictly increasing function b.
f
(
x
)
f(x)
f
(
x
)
has a local maxima c.
f
(
x
)
f(x)
f
(
x
)
is strictly decreasing function d.
f
(
x
)
f(x)
f
(
x
)
is bounded
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