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The differentiable function y= f(x) has ...

The differentiable function `y= f(x)` has a property that the chord joining any two points `A (x _(1), f (x_(1)) and B (x_(2), g (x _(2)))` always intersects y-axis at `(0,2 x _(1), x _(2)).` Given that `f (1) =-1.` then:
The largest interval in whichy `f (x)` is monotonically increasing, is :

A

`(-oo,(1)/(2)]`

B

`[(-1)/(2),oo)`

C

`(-oo, (1)/(4)]`

D

` [(-1)/(4), oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
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