Discontinuities in Functions and Graphs


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question 1 of 3

What type of discontinuity is in the graph of f(x) = 1/(x+2)?

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1. What type of discontinuity is in the graph of f(x) = {2 for x < 0; x+2 for x >= 0}?

2. What type of discontinuity is in the graph of f(x) = x/((x+1)(x-3))?

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About This Quiz & Worksheet

Each quiz question will present you with different types of functions. The questions will ask you to identify the types of discontinuities present in these provided functions.

Quiz & Worksheet Goals

The quiz will require you to understand a variety of definitions related to discontinuous functions. In particular, you will need to understand the definitions of:

  • Discontinuity in functions
  • Jump discontinuity
  • Asymptotic discontinuity
  • Point discontinuity

Skills Practiced

You will practice the following skills during the quiz:

  • Knowledge application-use your knowledge to answer a question that asks you to identify the number of discontinuities
  • Problem solving - use acquired knowledge to identify the type of discontinuity of a function
  • Distinguishing differences - compare and contrast topics from the lesson, such as jump discontinuities and asymptotic discontinuities

Additional Learning

Learn more about this mathematical subject with the help of the lesson titled Discontinuities in Functions and Graphs. The lesson will discuss the following:

  • Distinguishing discontinuous and continuous functions
  • Exploring point discontinuities and their examples
  • Describing jump discontinuities
  • Providing examples of asymptotic discontinuities
  • Identifying the indicators of discontinuities in functions