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IMC
2006 IMC
2
IMC 2006, problem 2, day 2
IMC 2006, problem 2, day 2
Source:
July 25, 2006
function
IMC
college contests
Problem Statement
Find all functions
f
:
R
→
R
f: \mathbb{R}\to{R}
f
:
R
→
R
such that for any
a
<
b
a<b
a
<
b
,
f
(
[
a
,
b
]
)
f([a,b])
f
([
a
,
b
])
is an interval of length
b
−
a
b-a
b
−
a
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