Mathematics · Real Analysis
Let A ⊆ ℝ and let f : ℝ → ℝ be a continuous function. Which of the following statements is always true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1If A is bounded, then f(A) is bounded
- 2If A is closed and bounded, then f(A) is closed and bounded✓
- 3If A is bounded, then f-1(A) is bounded
- 4If A is closed, then f(A) is closed
Correct answer
If A is closed and bounded, then f(A) is closed and bounded
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 Real Analysis MCQs →Want more practice questions on Real Analysis?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Real Analysis