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 ✎
The domain of the derivative of f is the open interval (a, c).
f is continuous on the open interval (a, c).
The derivative of f is positive on the open interval (b, c).
II & III only
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.