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Continuity | Study Mondo

Continuity

Continuity, types of discontinuity, IVT, and piecewise functions

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📈 Continuity

Explore continuity, types of discontinuity, the Intermediate Value Theorem, and piecewise function continuity.

📚 Practice Problems

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⚠️ Common Mistakes: Continuity

Avoid these 4 frequent errors

🌍 Real-World Applications: Continuity

See how this math is used in the real world

📝 Worked Example: Related Rates — Expanding Circle

Problem:

A stone is dropped into a still pond, creating a circular ripple. The radius of the ripple is increasing at a rate of $2$ cm/s. How fast is the area of the circle increasing when the radius is $10$ cm?

2Write the relationship between variables

3Differentiate both sides with respect to time

4Substitute known values

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📌 Related Topics in Introduction to Calculus Concepts

Introduction to Limits Rates of Change Systems of Equations

❓ Frequently Asked Questions

What is Continuity?▾

Continuity, types of discontinuity, IVT, and piecewise functions

How can I study Continuity effectively?▾

Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Regular review and active practice are key to retention.

Is this Continuity study guide free?▾

Yes — all study notes, flashcards, and practice problems for Continuity on Study Mondo are 100% free. No account is needed to access the content.

What course covers Continuity?▾

Continuity is part of the AP Precalculus course on Study Mondo, specifically in the Introduction to Calculus Concepts section. You can explore the full course for more related topics and practice resources.