Question

Please help

What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 4]?

x f(x)
-6 27
-3 6
-1 2
0 3
1 6
4 27

Answer 1

Given the values in the table of x and f(x), the average rate of change can be calculated by solving the slope of two points, m = (y2 – y1)/ ( x2 – x1). The average rate of change in the interval [-3,4 ] is equal to 2.5.