A function f(x) is continuous in the interval [0,2]. It is known that f(0) = f(2) = -1 and f(1) =1 . which one of the following statemnts must be true?

- a)There exists a y in the interval (0,1) such that f(y)= f(y+1)
- b)for every y in the interval (0,1), f(2) = f(2-y)
- c)The maximum value of the function in the interval (0,2) is 1
- d)There exists a y in the interval (0,1) such that f(y) = -f(2-y)

Correct answer is option 'A'. Can you explain this answer?

By
Mrudul Addipalli
·
just now ·Computer Science Engineering (CSE)

This discussion on A function f(x) is continuous in the interval [0,2]. It is known that f(0) = f(2) = -1 and f(1) =1 . which one of the following statemnts must be true?a)There exists a y in the interval (0,1) such that f(y)= f(y+1)b)for every y in the interval (0,1), f(2) = f(2-y)c)The maximum value of the function in the interval (0,2) is 1d)There exists a y in the interval (0,1) such that f(y) = -f(2-y)Correct answer is option 'A'. Can you explain this answer? is done on EduRev Study Group by Computer Science Engineering (CSE) Students. The Questions and
Answers of A function f(x) is continuous in the interval [0,2]. It is known that f(0) = f(2) = -1 and f(1) =1 . which one of the following statemnts must be true?a)There exists a y in the interval (0,1) such that f(y)= f(y+1)b)for every y in the interval (0,1), f(2) = f(2-y)c)The maximum value of the function in the interval (0,2) is 1d)There exists a y in the interval (0,1) such that f(y) = -f(2-y)Correct answer is option 'A'. Can you explain this answer? are solved by group of students and teacher of Computer Science Engineering (CSE), which is also the largest student
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A function f(x) is continuous in the interval [0,2]. It is known that f(0) = f(2) = -1 and f(1) =1 . which one of the following statemnts must be true?a)There exists a y in the interval (0,1) such that f(y)= f(y+1)b)for every y in the interval (0,1), f(2) = f(2-y)c)The maximum value of the function in the interval (0,2) is 1d)There exists a y in the interval (0,1) such that f(y) = -f(2-y)Correct answer is option 'A'. Can you explain this answer? over here on EduRev! Apart from being the largest Computer Science Engineering (CSE) community, EduRev has the largest solved
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