What is the average rate of change over the interval [0.75, 1.125]? Explain the meaning of the average rate of change.

1) The average rte of change = 6

2) The average rate of change over an interval is the ratio of the total change in the determinate variable or function (values of the output of the function) to the change in the indeterminate variable (values of the input of the function)

Step-by-step explanation:

1) The average of change of the function is found as follows;

At x = 0.75, y = -0.5, at x = 1.125, y = 1.75

Therefore, the average rate of change = (1.75 - (-0.5))/(1.125 - 0.75) = 6

2) The average rate of change over an interval on a graph or of a curve is found by dividing the difference between the y-coordinate values of the two points on the graph by the difference of the x-coordinate values of the two points.