Continuity in a Function


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question 1 of 3

How many discontinuities are in the function f(x), where f(x) = -1 when x is less than -1, and f(x) = x for values of x>=-1?

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Which of the following functions are continuous?

I) f(x) = 1/(x-1),

II) f(x) = abs(x)-x,

III) f(x) = x^2/2

2. How many discontinuities are in this function?

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About This Quiz & Worksheet

Each of the questions in this quiz will present you with at least one function. Then you will need to determine if the function is continuous, and, if not, how many discontinuities it possesses in the defined domain.

Quiz & Worksheet Goals

The quiz will test you on your knowledge on the definitions of:

  • Continuity
  • Discontinuity
  • Undefined range

Skills Practiced

The quiz will help you practice the following skills:

  • Critical thinking - apply concepts about continuity to examine information about functions in a different light
  • Problem solving - use acquired knowledge to solve continuity practice problems
  • Interpreting information - verify that you can read information regarding functions with specific domains and interpret them correctly
  • Information recall - access the knowledge you've gained regarding continuous functions

Additional Learning

Review the ideas behind continuous and discontinuous functions with the help of our fun and engaging lesson titled Continuity in a Function. The lesson covers:

  • Deciding whether a function is continuous or discontinuous
  • Exploring examples of different continuous and discontinuous functions
  • Examining graphical representations of continuous functions