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
Transcript text: 2.4 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
Solution Steps
Step 1: Identify the Indicated Points on the Graph
The graph shows two points: (1, 4) and (5, 5).
Step 2: Calculate the Net Change
The net change is the difference in the y-values of the two points.
Net change = y2 - y1 = 5 - 4 = 1.
Step 3: Calculate the Average Rate of Change
The average rate of change is the change in y divided by the change in x.