MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
For a differentiable function g, it is known that
• g′(x)>0 when x<−1 or x>3
• g′(x)<0 when −1<x<3
Which of the following correctly lists the interval(s) on which g is decreasing?
(a) (−∞,−1)∪(3,∞)
(b) (−∞,−1)
(c) (−1,3)
(d) [−1,3]