Step 1: Because the interval over which we are to calculate the average rate of change is [7,9] [ 7, 9], we must find Step 2: Now we calculate the average rate of change using the formula:
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Now, use the average rate of change formula: A(x) = f(b)−f(a) b−a A ( x) = f ( b) − f ( a) b − a. A(x) = f(8)−f(5) 8−5 A ( x) = f ( 8) − f ( 5) 8 − 5. = 34−25 8−5 = 9 3 = 34 − 25 8 − 5 = 9 3.
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Find the average rate of change of function f(y) = 3y2 + 5 on the y interval (-1, 3). Solution: Where value of set a = -1 and b = 3 so that “a” is the left interval, and b is the right side on interval.
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