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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
20 Dec 2021

Given information

A continuous function, say f, with domain [0,1] and range in [0,1].

Step-by-step explanation

Step 1.

Intermediate Value Theorem states that: If f is a function which is continuous at every point of the interval [a,b] and f(a)<0, f(b)>0 then f(x)=0 at some point x in (a,b).

Now,

If f(0)=0 or f(1)=1 , then we are done .

Now, Suppose  

and  

 

 

 

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