Mathematics · Calculus
Let f(x) = [x]2 - [x+3] - 3, x ∈ ℝ where [·] is the greatest integer function. Then:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1f(x) = 0 for finitely many values of x
- 2∫02 f(x) dx = -6
- 3f(x) < 0 only for x ∈ [-1, 3)✓
- 4f(x) > 0 only for x ∈ [4, ∞)
Correct answer
f(x) < 0 only for x ∈ [-1, 3)
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Calculus MCQs →Want more practice questions on Calculus?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Calculus