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  1. Multiple Choice: The function f, whose graph consists of two line segments, is shown at right. Which of the following are true for f on the open interval (a, c)? Homework Help ✎

    1. The domain of the derivative of f is the open interval (a, c).

    2. f is continuous on the open interval (a, c).

    3. The derivative of f is positive on the open interval (b, c).

    1. I only

    2. II only

    3. III only

    4. II & III only

    5. I, II & III

Is there anywhere within a < x < c in which the derivative does not exist?

Check all three conditions of continuity.

A positive derivative means that f(x) is increasing.