Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For what value(s) of
k
k
k
is the function
h
(
x
)
=
{
k
x
2
,
x
≤
2
8
x
−
k
,
x
>
2
h(x)=\begin{cases}kx^2,& x\le 2\\ 8x-k,& x>2\end{cases}
h
(
x
)
=
{
k
x
2
,
8
x
−
k
,
x
≤
2
x
>
2
differentiable at
x
=
2
x = 2
x
=
2
? a)
k
=
2
k=2
k
=
2
b)
k
=
16
5
k=\dfrac{16}{5}
k
=
5
16
c) No real value of
k
k
k
makes
h
h
h
differentiable at
x
=
2
x=2
x
=
2
. d)
k
=
2
or
k
=
16
5
k=2 \text{ or } k=\dfrac{16}{5}
k
=
2
or
k
=
5
16
Browse the problem library