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Home > CALC > Chapter 5 > Lesson 5.4.1 > Problem 5-146

5-146.
  1. Choice: Let f be the function given by . Which of the following statements about f are true? Homework Help ✎

  2. I. f is continuous at x = 0.
    II. f is differentiable at x = 0.
    III. f has an absolute minimum at x = 0.

    1. I only

    2. II only

    3. III only

    4. I and III

    5. II and III

Examples of functions that are not differentiable at x = c. Notice that some of them are still continuous at x = c.