A differentiable function satisfies on

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

A differentiable function gg satisfies g′(x)>0g'(x) > 0 on (−∞,−1)(-\infty,-1), g′(x)<0g'(x) < 0 on (−1,3)(-1,3), and g′(x)>0g'(x) > 0 on (3,∞)(3,\infty). Which interval describes where gg is decreasing? (a) (−∞,−1)(-\infty,-1) (b) (−1,3)(-1,3) (c) (−1,3](-1,3] (d) (−∞,3)(-\infty,3)

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