How to Make a Function Continuous (for a piecewise function)

Now do you see how limits relate to continuity? Viewers of this learn to find the value of a constant for a piecewise function that makes it continuous. They see how one-sided limits show that the derived constant is correct.

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Instructional Ideas

  • Provide pupils with more examples to practice the skill
Classroom Considerations

  • Learners should have experience with piecewise functions
  • Individuals must be familiar with how to determine one-sided limits
Pros

  • Organized presentation
  • Verifies results using both algebraic and graphical techniques
Cons

  • None