Answer:
average rate of change = [tex] \frac{-1}{3} [/tex]
Explanation:
I have attached the graph of the given function below.
From the graph, we can note that:
at x = 4 ........> y = -5 ...........> point is (4, -5)
at x = 1 .........> y = -4 ...........> point is (1, -4)
To get the average rate of change, we use the formula:
m = [tex] \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
Substitute with the points we got:
average rate of change = [tex] \frac{-5--4}{4-1} = \frac{-5+4}{3} = \frac{-1}{3} [/tex]
Hope this helps :)
