Questions: Average Rate of Change of x The graph of a function is given. (a) Determine the net change between the indicated points on the graph. (b) Determine the average rate of change between the indicated points on the graph. x

Solution Steps

• The graph shows two points: (1, 4) and (5, 5).

• The net change is the difference in the y-values of the two points.
• Net change = y2 - y1 = 5 - 4 = 1.

• The average rate of change is the change in y divided by the change in x.
• Average rate of change = (y2 - y1) / (x2 - x1) = (5 - 4) / (5 - 1) = 1 / 4 = 0.25.

Final Answer