Computer Sciences > GATE 2014 SET-1 > Calculus
A function f(x) is continuous in the interval. It is known that f(0) = f(2) = -1 and f(1) = 1. Which one of the following statements 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(y) = 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 : a

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