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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
+
4
x
+
1
,
x
<
0
,
x
+
1
,
x
≥
0.
f(x)=\begin{cases} x^{2}+4x+1,& x<0,\\ x+1,& x\ge 0. \end{cases}
f
(
x
)
=
{
x
2
+
4
x
+
1
,
x
+
1
,
x
<
0
,
x
≥
0.
Determine whether
f
f
f
has a relative maximum, a relative minimum, or neither at
x
=
0
x=0
x
=
0
.
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