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Functions - Continuity.
Test Yourself 1.


 

Using graphs 1. Is the curve shown in the diagram below continuous or discontinuous?

Explain the basis for your answer.

 2. Is the curve shown in the diagram below continuous or discontinuous?

Explain the basis for your answer.
  3. Is the curve shown in the diagram below continuous or discontinuous?

4. Is the curve shown in the diagram below continuous or discontinuous?

Using equations 5. If the following function is discontinuous, identify the point of discontinuity.

 

 6. If the following function is discontinuous, identify the point of discontinuity.

  7. Determine the x values where the following function is discontinuous. Explain your answers.

8. Determine the x value(s)where the curve

is discontinuous.
  9. Determine if the function defined by the equations below is continuous.

10. Determine if the function defined by the equations below is continuous.

  11. A function is described by the following rule:

If the function is continuous at
x = 5, find the value of k.

 12. If the following function is discontinuous, identify the point of discontinuity.

  13. If the following function is discontinuous, identify the point of discontinuity.

14. If the following function is discontinuous, identify the point of discontinuity.

  15 If the following function is continuous, determine the value of b.

Answer.b = π.

16. A piecewise function is defined as follows:

What value of a makes this function continuous?

Answer.a = 2.