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Continuous function/Closed interval/Continuous continuation/Exercise
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Let
f
:
[
a
,
b
]
⟶
R
{\displaystyle f\colon [a,b]\longrightarrow \mathbb {R} }
be a continuous function. Show that there exists a continuous extension
f
~
:
R
⟶
R
{\displaystyle {\tilde {f}}\colon \mathbb {R} \longrightarrow \mathbb {R} }
of
f
{\displaystyle {}f}
.
Create a solution