The correct answer is C. We have 1 ≥ ≥ cosx ≥ ≥ -1 ⇒ ⇒ 2 ≥ ≥ -2cosx ≥ ≥ -2 ⇒ ⇒ 3 ≥ ≥ 1 − − 2cosx ≥ ≥ − − 1 ⇒ ⇒ ∈ ∈ (- ∞ ∞ , -1] ∪ ∪

Range of f(x) = is

Maths Functions, Limits, Continuity and Differentiability Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Range of f(x) = is

A

B

C

D

Text Solution

Verified by Experts

The correct answer is:

We have 1 ≥ ≥ cosx ≥ ≥ -1

⇒ ⇒ 2 ≥ ≥ -2cosx ≥ ≥ -2

⇒ ⇒ 3 ≥ ≥ 1 − − 2cosx ≥ ≥ − − 1

⇒ ⇒ ∈ ∈ (- ∞ ∞ , -1] ∪ ∪

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