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Mathematics
Mathematics
Problem
The function
p
p
p
is defined by
p
(
x
)
=
{
k
x
+
3
,
x
<
2
,
x
2
−
x
,
x
≥
2.
p(x)=\begin{cases} kx+3, & x<2,\\ x^{2}-x, & x\ge 2.\end{cases}
p
(
x
)
=
{
k
x
+
3
,
x
2
−
x
,
x
<
2
,
x
≥
2.
For which value of
k
k
k
is
p
p
p
continuous at
x
=
2
x=2
x
=
2
but NOT differentiable there? a)
k
=
3
k=3
k
=
3
b)
k
=
−
1
2
k=-\dfrac12
k
=
−
2
1
c) No real value of
k
k
k
satisfies the condition. d)
k
=
0
k=0
k
=
0
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