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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
3
x
+
1
,
x
<
2
,
c
x
2
−
5
,
x
≥
2.
f(x)=\begin{cases}3x+1, & x<2,\\ cx^2-5, & x\ge 2.\end{cases}
f
(
x
)
=
{
3
x
+
1
,
c
x
2
−
5
,
x
<
2
,
x
≥
2.
Determine the value of
c
c
c
that makes
f
f
f
continuous at
x
=
2
x=2
x
=
2
. a)
1
2
\displaystyle \frac12
2
1
b)
3
3
3
c)
3
4
\displaystyle \frac34
4
3
d)
6
6
6
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