Let f :R R by given by Then which of the following option…

Maths JEE - Advanced Previous Year Paper JEE-Advanced-2019-Paper-1 Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

Let f :R R by given by

Then which of the following options is/are correct?

f has a local maximum at x = 1

f is NOT differentiable at x = 1

f is onto

f is increasing on (-

, 0)

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a, b, c)

Range will contain set

f'(1) > f’(1 + ) & f'(1) > f (1 - ) so f (x) has local max. at x = 1

L.H. = 2 are R.H. = - 2, f is not differentiable at x = 1

f is containing (- , ), so f is onto

f (x) = 5 (x + 1) 4 - 2 is changing sign in (- , 0), so if is not increasing

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