Chapter 2: Limits and Continuity - Section 2.1 - Rates of Change and Tangents to Curves - Exercises 2.1 - Page 46: 6

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The definition of average rate of change is $\frac{P(θ2) - P(θ1)}{θ2-θ1}$. P(θ) =$θ^{3}$ - 4$θ^{2}$ + 5θ Interval = [1, 2] $\frac{P(2) - P(1)}{2-1}$ P(2) =$2^{3}$ - 4.$2^{2}$ + 5.2 = 2 R(1) =$1^{3}$ - 4.$1^{2}$ + 5.1 = 2 $\frac{2 - 2}{2-1}$ = 0