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Ch 5: Continuity in AP Calculus: Homework Help Resource

About This Chapter

The Continuity chapter of this AP Calculus AB & BC Homework Help course helps students complete their continuity homework and earn better grades. This homework help resource uses simple and fun videos that are about five minutes long.

How it works:

  • Identify which concepts are covered on your continuity in AP calculus homework.
  • Find videos on those topics within this chapter.
  • Watch fun videos, pausing and reviewing as needed.
  • Complete sample problems and get instant feedback.
  • Finish your continuity homework with ease!

Topics from your homework you'll be able to complete:

  • Continuity in a function
  • Discontinuities in functions and graphs
  • Regions of continuity in a function
  • Intermediate Value Theorem definition and applications

5 Lessons in Chapter 5: Continuity in AP Calculus: Homework Help Resource
Test your knowledge with a 30-question chapter practice test
Continuity in a Function

1. Continuity in a Function

Continuity is the state of an equation or graph where the solutions form a continuous line, with no gaps on the graph. Learn the concept of continuity, opposed by discontinuity, and examples of both types of functions.

Discontinuities in Functions and Graphs

2. Discontinuities in Functions and Graphs

A discontinuity is where the potential values in an equation 'jump', rather than being continuous as with an un-broken line on a graph. See how discontinuities appear in graphs and equations, including jump discontinuities and asymptotic discontinuities.

Regions of Continuity in a Function

3. Regions of Continuity in a Function

A region of continuity is where you have a function that is continuous and is a critical understanding in calculus and mathematics. Learn more about regions of continuity as a function and read examples.

Intermediate Value Theorem: Definition

4. Intermediate Value Theorem: Definition

The intermediate value theorem concerns the properties of continuous functions over a range and finding at least one solution. Learn more about the definition of the intermediate value theorem using the altitudes of a jet airplane as an example.

Intermediate Value Theorem: Examples and Applications

5. Intermediate Value Theorem: Examples and Applications

The intermediate value theorem states that a function, when continuous, can have a solution for all points along the range that it is within. Identify the applications of this theorem in finding roots, and solve some example functions.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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