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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
a
x
2
+
b
x
,
x
≤
2
4
x
+
1
,
x
>
2
f(x)=\begin{cases}ax^{2}+bx,& x\le 2\\4x+1,& x>2\end{cases}
f
(
x
)
=
{
a
x
2
+
b
x
,
4
x
+
1
,
x
≤
2
x
>
2
. Determine the relation between
a
a
a
and
b
b
b
that makes
f
(
x
)
f(x)
f
(
x
)
continuous at
x
=
2
x=2
x
=
2
.
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