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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
{
x
2
−
4
,
0
≤
x
≤
2
,
5
x
−
8
,
2
<
x
≤
5.
f(x)=\begin{cases} x^{2}-4, & 0\le x\le 2,\\ 5x-8, & 2<x\le 5. \end{cases}
f
(
x
)
=
{
x
2
−
4
,
5
x
−
8
,
0
≤
x
≤
2
,
2
<
x
≤
5.
Is
f
f
f
continuous on the closed interval
[
0
,
5
]
[0,5]
[
0
,
5
]
? Answer Yes or No and give a brief justification.
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