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Problem
Problem
Let
f
(
x
)
=
{
1
+
sin
x
,
x
<
0
x
2
−
x
+
1
,
x
≥
0
f(x) = \begin{cases} 1 + \sin x, & x < 0 \\ x^2 - x + 1, & x \ge 0 \end{cases}
f
(
x
)
=
{
1
+
sin
x
,
x
2
−
x
+
1
,
x
<
0
x
≥
0
. Then, a.
f
f
f
has a local maximum at
x
=
0
x = 0
x
=
0
b.
f
f
f
has a local minimum at
x
=
0
x = 0
x
=
0
c.
f
f
f
is increasing everywhere d.
f
f
f
is decreasing everywhere
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