Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
k
x
+
2
,
x
<
1
,
∣
x
−
1
∣
+
1
,
x
≥
1.
f(x)=\begin{cases}kx+2,& x<1,\\ |x-1|+1,& x\ge 1.\end{cases}
f
(
x
)
=
{
k
x
+
2
,
∣
x
−
1∣
+
1
,
x
<
1
,
x
≥
1.
For which value of
k
k
k
is
f
f
f
continuous at
x
=
1
x=1
x
=
1
but not differentiable there? a)
k
=
0
k=0
k
=
0
b)
k
=
−
1
k=-1
k
=
−
1
c)
k
=
1
k=1
k
=
1
d)
k
=
−
2
k=-2
k
=
−
2
Browse the problem library