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Mathematics
Mathematics
Problem
For
x
x
x
in
[
0
,
4
]
[0,4]
[
0
,
4
]
, define
f
(
x
)
=
{
k
x
+
1
,
0
≤
x
<
2
,
x
2
−
3
x
+
2
,
2
≤
x
≤
4.
f(x)=\begin{cases}kx+1, & 0\le x<2,\\ x^{2}-3x+2, & 2\le x\le4.\end{cases}
f
(
x
)
=
{
k
x
+
1
,
x
2
−
3
x
+
2
,
0
≤
x
<
2
,
2
≤
x
≤
4.
The value of
k
k
k
that makes
f
f
f
continuous on the entire interval
[
0
,
4
]
[0,4]
[
0
,
4
]
is a)
1
1
1
b)
0
0
0
c)
−
1
2
-\dfrac{1}{2}
−
2
1
d)
−
1
-1
−
1
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