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Maths Functions, Limits, Continuity and Differentiability Definition of Function, Domain and Range, Classification of Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Statement - 1 If y = f (x) is increasing in [ α, β ], then its range is [f ( α ), f ( β ) ]

Statement - 2 Every increasing function need not to be continuous.

STATEMENT-1 is true, STATEMENT- 2 is true and STATEMENT- 2 is correct explanation for
STATEMENT- 1

STATEMENT-1 is true, STATEMENT- 2 is true and STATEMENT- 2 is not correct explanation for
STATEMENT- 1

STATEMENT-1 is true, STATEMENT- 2 is false

STATEMENT- 1 is false, STATEMENT- 2 is true

Text Solution

Verified by Experts

The correct answer is:

If f(x) is increasing continuous function in [ α , β ], then its range is [f( α ), f( β )] but for discontinuous function the statement is not true.

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