GATE Computer Science (CS) 2014 Shift 1 Solved Paper

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Question : 57 of 65

Marks: +1, -0

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 statements must be true?

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

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