11th Grade Compact Sets Quizzes , Questions & Answers

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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: 13 | Last updated: Jan 21, 2026

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

11th Grade Compact Sets Quizzes , Questions & Answers

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