Answer:
-1/2
Step-by-step explanation:
When x = 0, y = 2; (0,2) <- This is point "a"
When x = 2, y = 1; (2,1) <- This is point "b"
Average rate of change = (f(b) - f(a)) / (b - a)
(1 - 2) / (2 - 0) = (-1 / 2) = -1/2
The average rate of change from 0 to 2 of the provided function which is represented by the graph is -1/2.
The rate of change of the graph for a given interval is the measure of change in the function output value in that interval.
Average rate of change of the graph is the ratio of rise to the run. It can be calculate as,
[tex]r_a=\dfrac{\Delta y}{\Delta x}\\r_a=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The average rate of change from 0 to 2 of the function represented by the graph has to be find out.
In the given graph the value of y is 2, when the value of x is 0 and the value of y is 1, when the value of x is 2.
Thus, the two points, we get as (0,2) and (2,1). Put these values in the above formula,
[tex]r_a=\dfrac{1-2}{2-0}\\r_a=-1/2[/tex]
Thus, the average rate of change from 0 to 2 of the provided function which is represented by the graph is -1/2.
Learn more about the rate of change of graph here;
https://brainly.com/question/25184007
