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Mathematics
Mathematics
Problem
Find the value of
k
k
k
so that the function
f
(
x
)
=
{
k
x
+
1
,
0
≤
x
<
1
,
x
2
,
1
≤
x
≤
3
f(x)=\begin{cases}kx+1,&0\le x<1,\\x^{2},&1\le x\le 3\end{cases}
f
(
x
)
=
{
k
x
+
1
,
x
2
,
0
≤
x
<
1
,
1
≤
x
≤
3
is continuous on the interval
[
0
,
3
]
[0,3]
[
0
,
3
]
.
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