Let h(x)= cases x^ 2 +2x,& x 1 3x-1,& x>1

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let h(x)={x2+2x,x≤13x−1,x>1.h(x)=\begin{cases}x^{2}+2x,& x\le 1\\3x-1,& x>1.\end{cases} Which of the following gives all xx for which hh is increasing? (a) (−1,1)(-1,1) (b) (−1,∞)(-1,\infty) (c) (−∞,−1)(-\infty,-1) (d) (1,∞)(1,\infty)

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