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the graph of a function if us shown. use the graph of the function to find its average rate or change to x=3 to x=7 simplify answer as much as possible

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Final answer:

To find the average rate of change of a function between two points, calculate the slope of the line between those points using the formula (y2 - y1) / (x2 - x1).

Step-by-step explanation:

The average rate of change of a function between two points can be found by calculating the slope of the line between those two points. In this case, the points given are x=3 and x=7. To find the average rate of change, we need to find the slope between these two points.

To find the slope, we use the formula:

slope = (y2 - y1) / (x2 - x1)

Using the given information, we can substitute the values to find the slope:

slope = (f(7) - f(3)) / (7 - 3)

Since the graph is not provided in the question, we are unable to calculate the actual values of f(7) and f(3). However, you can substitute the given values from the graph to calculate the slope and simplify the answer as much as possible.

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