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Educational worksheet demonstrating how to calculate the average rate of change both graphically and algebraically for quadratic and cubic functions.

A worksheet on average rate of change with two examples, each showing a graph of a function and a corresponding algebraic calculation to find the average rate of change over a specified interval.

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Show Answer Key & Explanations Step-by-step solution for: Average Rate of Change & Intervals Guided Notes + Homework

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- A.R.C. over [-3,1]: 2
- f(b) = f(1) = 4
- f(a) = f(-3) = -4
- (f(b) - f(a)) / (b - a) = (4 - (-4)) / (1 - (-3)) = 8 / 4 = 2
- A.R.C. over [-3,1]: 2
- A.R.C. for -2 ≤ x ≤ 2: -0.5
- f(b) = f(2) = 2^3 - 4.5*2 + 1 = 8 - 9 + 1 = 0
- f(a) = f(-2) = (-2)^3 - 4.5*(-2) + 1 = -8 + 9 + 1 = 2
- (f(b) - f(a)) / (b - a) = (0 - 2) / (2 - (-2)) = -2 / 4 = -0.5
- A.R.C. for -2 ≤ x ≤ 2: -0.5

Parent Tip: Review the logic above to help your child master the concept of average rate of change worksheet.

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