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Mathematics
Mathematics
Problem
Is the function
f
f
f
defined by
f
(
x
)
=
{
x
+
5
,
if
x
≤
1
x
−
5
,
if
x
>
1
f(x) = \begin{cases} x+5, & \text{if } x ≤ 1 \\ x-5, & \text{if } x > 1 \end{cases}
f
(
x
)
=
{
x
+
5
,
x
−
5
,
if
x
≤
1
if
x
>
1
a continuous function? Justify your answer.
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