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Mathematics
Problem
Let
f
(
x
)
=
−
x
2
+
m
x
f(x)=-x^{2}+mx
f
(
x
)
=
−
x
2
+
m
x
defined on
[
0
,
∞
)
[0,\infty)
[
0
,
∞
)
, where
m
∈
R
m\in\mathbb R
m
∈
R
. Determine the set of
m
m
m
for which
f
f
f
is strictly decreasing on
[
0
,
∞
)
[0,\infty)
[
0
,
∞
)
. a)
m
≤
0
m\le 0
m
≤
0
b)
m
<
0
m<0
m
<
0
c)
m
<
2
m<2
m
<
2
d)
m
=
0
m=0
m
=
0
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