Home Maths Inverse Trigonometric Functions All Topic Question for Revision Test Range of the function , where denotes frac…
Maths Inverse Trigonometric Functions All Topic Question for Revision Test Single Correct MCQ
Published on: August 12, 2026

Range of the function , where denotes fractional part function

A
B

C
D

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
D

Simplify the Function:

Since for any value where , the function simplifies to:

Evaluate Range of :

The range of the fractional part function is .

Find Bounds for

is a strictly decreasing function.

For

As (approached but not reached)

So, the range of is .
Add the constant :

──────────────────────────────────────────────────────────────────────────────────────────

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.