Question

The graph of a function fis shown below.

Answer 1

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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