11th Grade Compact Sets Quizzes, Questions & Answers

11th Grade

All Grades
12th Grade
11th Grade

Top Trending Compact Sets Quizzes

Once you know compact sets, can you use them? In this quiz, you’ll apply compactness in proofs and reasoning tasks. Try this quiz to strengthen higher-level problem solving.

Questions: 15 | Attempts: 11 | Last updated: Dec 10, 2025

Sample Question 1
A continuous function on a compact set is always bounded.

True

False

Sample Question 2
Which function achieves both maximum and minimum on [0,2π]?

F(x)=tan(x)

F(x)=cos(x)

F(x)=1/x

F(x)=ln(x)

Sample Question 3
If K is compact and f:K→ℝ is continuous, then f(K) is:

Always compact

Always open

Always infinite

Always unbounded