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Mathematics
Mathematics
Problem
The function
f
f
f
is defined by
f
(
x
)
=
{
m
x
+
1
,
x
<
0
,
x
2
+
n
,
0
≤
x
<
3
,
m
x
+
n
,
x
≥
3.
f(x)=\begin{cases} mx+1, & x<0,\\ x^{2}+n, & 0\le x<3,\\ mx+n, & x\ge 3. \end{cases}
f
(
x
)
=
⎩
⎨
⎧
m
x
+
1
,
x
2
+
n
,
m
x
+
n
,
x
<
0
,
0
≤
x
<
3
,
x
≥
3.
If
f
f
f
is continuous at both
x
=
0
x=0
x
=
0
and
x
=
3
x=3
x
=
3
, which ordered pair
(
m
,
n
)
(m,n)
(
m
,
n
)
satisfies these conditions? a)
(
3
,
0
)
(3,0)
(
3
,
0
)
b)
(
2
,
1
)
(2,1)
(
2
,
1
)
c)
(
3
,
1
)
(3,1)
(
3
,
1
)
d)
(
3
,
4
)
(3,4)
(
3
,
4
)
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