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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
{
4
−
x
2
,
−
2
≤
x
≤
2
,
x
−
1
,
x
>
2.
f(x)= \begin{cases} \sqrt{4-x^{2}}, & -2\le x\le 2,\\ x-1, & x>2. \end{cases}
f
(
x
)
=
{
4
−
x
2
,
x
−
1
,
−
2
≤
x
≤
2
,
x
>
2.
Let
S
S
S
be the set of all real numbers in the domain of
f
f
f
at which
f
′
(
x
)
=
0
f'(x)=0
f
′
(
x
)
=
0
. How many elements does
S
S
S
contain? a)
2
2
2
b)
1
1
1
c)
3
3
3
d)
0
0
0
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