Calculus 1 Quiz
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DERIVATIVES: DEFINITION & RULES
Question 1
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For what value of
k
k
k
is the function
f
(
x
)
=
{
x
2
−
1
x
<
2
k
(
x
−
2
)
+
3
x
≥
2
f(x) = \begin{cases} x^2 - 1 & x < 2 \\ k(x-2) + 3 & x \ge 2 \end{cases}
f
(
x
)
=
{
x
2
−
1
k
(
x
−
2
)
+
3
x
<
2
x
≥
2
differentiable at
x
=
2
x=2
x
=
2
?
A
k
=
1
k=1
k
=
1
B
k
=
2
k=2
k
=
2
C
k
=
3
k=3
k
=
3
D
k
=
4
k=4
k
=
4
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