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Problems
If
f
(
x
)
=
{
2
x
+
3
,
when
x
<
0
0
,
when
x
=
0
x
2
+
3
,
when
x
>
0
f(x) = \begin{cases} 2x+3, & \text{when } x < 0 \\ 0, & \text{when } x = 0 \\ x^2+3, & \text{when } x > 0 \end{cases}
f
(
x
)
=
⎩
⎨
⎧
2
x
+
3
,
0
,
x
2
+
3
,
when
x
<
0
when
x
=
0
when
x
>
0
…
Mathematics
Problem
If
f
(
x
)
=
{
2
x
+
3
,
when
x
<
0
0
,
when
x
=
0
x
2
+
3
,
when
x
>
0
f(x) = \begin{cases} 2x+3, & \text{when } x < 0 \\ 0, & \text{when } x = 0 \\ x^2+3, & \text{when } x > 0 \end{cases}
f
(
x
)
=
⎩
⎨
⎧
2
x
+
3
,
0
,
x
2
+
3
,
when
x
<
0
when
x
=
0
when
x
>
0
Discuss the continuity.
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