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Let {f}:{[{0},{1}]}{[{0},{1}]} be a continuous function. Then

Question

Let $f : [0, 1] \to [0, 1]$ be a continuous function. Then prove that $f (x) = x$ for at least one $0 \leq x \leq 1 .$

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Benjamin Discussed

Let

f : [0, 1] \to [0, 1]

be a continuous function. Then prove that

f (x) = x

for at least one

0 \leq x \leq 1 .

6 mins ago

Discuss this question LIVE

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Question Text

Let

f : [0, 1] \to [0, 1]

be a continuous function. Then prove that

f (x) = x

for at least one

0 \leq x \leq 1 .

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