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Separate Average and Instantaneous Rate - Practice 2

Average rate over [a,b] is (f(b) - f(a)) / (b - a), for a not equal to b.

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Average rate over [a,b] is (f(b) - f(a)) / (b - a), for a not equal to b. It describes a secant interval rather than a derivative at one point.

Worked example

For f(x) = x^2 on [1, 3], average rate = (9 - 1) / (3 - 1) = 4.

For f(x) = x^2 on [1, 3], average rate = (9 - 1) / (3 - 1) = 4.
Worked model: For f(x) = x^2 on [1, 3], average rate = (9 - 1) / (3 - 1) = 4.
Question 1 For f(x) = x^2, find the average rate of change from x = 1 to x = 4.
Question 2 For f(x) = x^2, find the average rate of change from x = 2 to x = 5.
Question 3 For f(x) = x^2, find the average rate of change from x = 3 to x = 6.
Question 4 For f(x) = x^2, find the average rate of change from x = 4 to x = 7.
Question 5 For f(x) = x^2, find the average rate of change from x = 5 to x = 8.