Continuity in Calculus: Definition, Examples & Problems


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question 1 of 3

Which of these is NOT a condition for a function f(x) to be continuous at x = a?

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1. Is the function shown continuous at x = 3?

2. Is f(x) continuous at x = 0?

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About This Quiz & Worksheet

Continuous functions are specific mathematical functions used in calculus, and these tools will help test your understanding of how they work. One of the key concepts assessed in this quiz deals with the conditions necessary for a function to be defined as continuous.

Quiz & Worksheet Goals

This quiz will review:

  • How to determine whether a function is continuous at a given value
  • The definition of continuity
  • How to determine whether a function is continuous as it approaches 0

Skills Practiced

  • Problem solving: use your knowledge to solve continuous function practice problems
  • Information recall: remember how to identify whether a function is continuous at a given value by looking at an equation
  • Knowledge application: use the knowledge you have learned regarding continuity

Additional Learning

To learn more about continuous functions, have a look at the accompanying lesson called Continuity in Calculus: Definition, Examples & Problems. This lesson covers the following objectives:

  • The definition of limits
  • The three different types of discontinuity
  • How to graph continuous equations