A function is defined by f(x)= cases x^ 2 , & 0 x 1, 4x-3, & x>1

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

A function ff is defined by f(x)={x2,0≤x≤1,4x−3,x>1.f(x)=\begin{cases} x^{2}, & 0\le x\le 1,\\ 4x-3, & x>1. \end{cases} For what value of x>1x>1 is the average rate of change of ff on the interval [0,x][0,x] equal to 2.52.5? (a) 2.52.5 (b) 1.251.25 (c) 22 (d) 83\dfrac{8}{3}

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