Identify the correct formula for the average rate of change of a function between and ( ).

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

Problem

Identify the correct formula for the average rate of change of a function y=f(x)y=f(x) between x=ax=a and x=bx=b (a≠ba\neq b). (a) f(b)+f(a)b−a\dfrac{f(b)+f(a)}{b-a} (b) f(b)−f(a)b−a\dfrac{f(b)-f(a)}{b-a} (c) f(b)−f(a)a+b\dfrac{f(b)-f(a)}{a+b} (d) f(a)−f(b)b−a\dfrac{f(a)-f(b)}{b-a}

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