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

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. $x$
failed

Solution

failed
failed

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.
  • Average rate of change = (y2 - y1) / (x2 - x1) = (5 - 4) / (5 - 1) = 1 / 4 = 0.25.

Final Answer

  • Net change: 1
  • Average rate of change: 0.25
Was this solution helpful?
failed
Unhelpful
failed
Helpful