The average rate of change from x = -9 to x = -1 of the graph of the given function is 0.
We know that the rate of change of a function is nothing but the slope of the line.
The slope of the line is given by;
Slope = Change in y-coordinate / change in x-coordinate
We are given the graph of a function.
We need to find the average rate of change from x = -9 to x = -1.
Let us find the value of y or f(x) for the given value of x.
For x = -9, y = 2
For x = -1, y = 2.
Put the values of x and y in the slope formula, we will get;
Slope = (2 - 2) / (- 1 - (-9)) = 0
So, the rate of change of function is 0.
Thus, the average rate of change from x = -9 to x = -1 of the graph of the given function is 0.
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