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Mathematics
Problem
Define $f(x)=\begin{cases} kx^{2}+3x,& x<1, 2x+m,& 1\le x<4, x^{2}-5,& x\ge 4. \end{cases}$ If
f
f
f
is continuous on the entire real line, then the ordered pair
(
k
,
m
)
(k,\,m)
(
k
,
m
)
equals a)
(
3
,
2
)
(3,2)
(
3
,
2
)
b)
(
2
,
3
)
(2,3)
(
2
,
3
)
c)
(
1
,
2
)
(1,2)
(
1
,
2
)
d)
(
0
,
3
)
(0,3)
(
0
,
3
)
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