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Mathematics
Problem
Let
g
a
(
x
)
=
x
4
+
a
x
2
g_a(x)=x^{4}+a x^{2}
g
a
(
x
)
=
x
4
+
a
x
2
. Which statement about the parameter
a
a
a
guarantees that
g
a
g_a
g
a
possesses at least one point of inflection? a)
a
≤
0
a\le 0
a
≤
0
b)
a
<
0
a<0
a
<
0
c)
a
=
0
a=0
a
=
0
d)
a
>
0
a>0
a
>
0
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