The average rate of change of the function h(x) = - x² + x + 4 is equal to 22 / 5.
In this problem we find the definition of a function and its interval regarding an average rate of change. Graphically speaking, the average rate of change of the function over an interval is represented by the slope of a secant line that passes through two function points related to the interval limits.
The average rate of change is represented by the following formula:
m = [h(b) - h(a)] / (b - a), for a ≤ x ≤ b
If we know that h(x) = - x² + x + 4, a = - 1 and b = 4, then the average rate of change is:
m = [h(4) - h(- 1)] / [4 - (- 1)]
m = [h(4) - h(- 1)] / 5
m = (- 4² + 4 + 4 + (- 1)² - (- 1) - 4) / 5
m = (17 + 5) / 5
m = 22 / 5
The average rate of change is equal to 22 / 5.
To learn more on rates of change: https://brainly.com/question/13103052
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