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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
{
x
+
2
,
x
<
0
x
2
,
0
≤
x
<
3
5
,
x
≥
3
.
f(x)=\begin{cases}x+2,&x<0\\x^2,&0\le x<3\\5,&x\ge 3\end{cases}.
f
(
x
)
=
⎩
⎨
⎧
x
+
2
,
x
2
,
5
,
x
<
0
0
≤
x
<
3
x
≥
3
.
Identify all points of discontinuity of
f
f
f
and state the interval(s) on which
f
f
f
is continuous.
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