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Mathematics
Mathematics
Problem
The function
h
h
h
is defined by
h
(
x
)
=
{
5
+
2
x
,
x
≤
0
,
5
−
x
,
x
>
0.
h(x)= \begin{cases} 5+2x, & x\le 0,\\ 5-x, & x>0. \end{cases}
h
(
x
)
=
{
5
+
2
x
,
5
−
x
,
x
≤
0
,
x
>
0.
Determine whether
x
=
0
x=0
x
=
0
is a point of local maximum or local minimum of
h
h
h
, and find
h
(
0
)
h(0)
h
(
0
)
.
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