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Mathematics
Mathematics
Problem
For the function
f
(
x
)
=
{
m
x
+
3
,
x
<
2
,
5
,
x
=
2
,
x
2
+
n
,
x
>
2
f(x)= \begin{cases} mx+3, & x<2,\\ 5, & x=2,\\ x^{2}+n, & x>2 \end{cases}
f
(
x
)
=
⎩
⎨
⎧
m
x
+
3
,
5
,
x
2
+
n
,
x
<
2
,
x
=
2
,
x
>
2
determine the ordered pair
(
m
,
n
)
(m,n)
(
m
,
n
)
so that
f
f
f
is continuous at
x
=
2
x=2
x
=
2
. a)
(
2
,
−
1
)
(2,-1)
(
2
,
−
1
)
b)
(
1
,
−
1
)
(1,-1)
(
1
,
−
1
)
c)
(
1
,
1
)
(1,1)
(
1
,
1
)
d)
(
2
,
1
)
(2,1)
(
2
,
1
)
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