Q47

MCQ2 marks, −0.67

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?

(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 $f(y)$ = $-f(2-y)$

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