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Mathematics
Mathematics
Problem
Consider
f
(
x
)
=
k
x
2
+
4
x
+
7
f(x)=k x^{2}+4x+7
f
(
x
)
=
k
x
2
+
4
x
+
7
defined on
[
0
,
∞
)
[0,\infty)
[
0
,
∞
)
. For which of the following sets of
k
k
k
is
f
f
f
strictly increasing on
[
0
,
∞
)
[0,\infty)
[
0
,
∞
)
? a)
k
>
0
k>0
k
>
0
b)
k
>
−
2
k>-2
k
>
−
2
c)
k
≥
0
k\ge 0
k
≥
0
d)
k
≤
0
k\le 0
k
≤
0
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