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Problem
Problem
The set of values of 'a' for which the function
f
(
x
)
=
a
x
3
3
+
(
a
+
2
)
x
2
+
(
a
−
1
)
x
+
2
f(x) = \frac{ax^3}{3} + (a+2)x^2 + (a-1)x + 2
f
(
x
)
=
3
a
x
3
+
(
a
+
2
)
x
2
+
(
a
−
1
)
x
+
2
possess a negative point of inflection. a.
(
−
∞
,
−
2
)
∪
(
0
,
∞
)
(-\infty, -2) \cup (0, \infty)
(
−
∞
,
−
2
)
∪
(
0
,
∞
)
b.
{
−
4
/
5
}
\{-4/5\}
{
−
4/5
}
c.
(
−
2
,
0
)
(-2, 0)
(
−
2
,
0
)
d. empty set
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