Mathematics

Mathematics

Problem

For a differentiable function gg, it is known that • g′(x)>0g'(x)>0 when x<−1x<-1 or x>3x>3 • g′(x)<0g'(x)<0 when −1<x<3-1<x<3 Which of the following correctly lists the interval(s) on which gg is decreasing? a) (−∞,−1)∪(3,∞)(-\infty,-1)\cup(3,\infty) b) (−∞,−1)(-\infty,-1) c) (−1,3)(-1,3) d) [−1,3][-1,3]

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