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Mathematics
Mathematics
Problem
Consider
h
(
x
)
=
{
x
2
+
a
,
x
<
2
b
x
+
3
,
x
≥
2
.
h(x)=\begin{cases}x^{2}+a,& x<2\\bx+3,& x\ge 2\end{cases}.
h
(
x
)
=
{
x
2
+
a
,
b
x
+
3
,
x
<
2
x
≥
2
.
Write the equality that the constants
a
a
a
and
b
b
b
must satisfy for
h
(
x
)
h(x)
h
(
x
)
to be continuous at
x
=
2
x=2
x
=
2
(do not solve for
a
a
a
and
b
b
b
).
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