the graph of a function (f) is shown below. use the graph of the function to find its average rate of change…

the graph of a function (f) is shown below. use the graph of the function to find its average rate of change from (x = - 5) to (x=-3). simplify your answer as much as possible.

the graph of a function (f) is shown below. use the graph of the function to find its average rate of change from (x = - 5) to (x=-3). simplify your answer as much as possible.

Answer

Explanation:

Step1: Identify the formula for average rate of change

The average rate of change from (x = a) to (x = b) is (\frac{f(b) - f(a)}{b - a}).

Step2: Determine function values from the graph

From the graph, (f(-5) = -8) and (f(-3) = 1).

Step3: Calculate the average rate of change

Substitute values into the formula: (\frac{1 - (-8)}{-3 - (-5)} = \frac{9}{2}).

Answer:

(\frac{9}{2})