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Multiple Choice: The function , whose graph consists of two line segments, is shown at right. Which of the following are true for on the open interval ?

  1. The domain of the derivative of is the open interval .

  2. is continuous on the open interval .

  3. The derivative of is positive on the open interval .

  1. I only

  1. II only

  1. III only

  1. II & III only

  1. I, II, & III

Is there anywhere within in which the derivative does not exist?

Check all three conditions of continuity.

A positive derivative means that is increasing.