Question

For the graphed exponential equation, calculate the average rate of change from x = 1 to x = 4. Graph of f of x equals 0.8 to the x minus 4 power, minus 6.

−one third.
−five eighths
−four fifths
−seven eighths

Answer 1

i just took this test online and i got -1/3.

and -1/3 was the correct answer.

hope this helps in anyway :D

Answer 2

average rate of change =
`(-1)/(3)`

Step-by-step 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 =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

Substitute with the points we got:

average rate of change =
`(-5--4)/(4-1) = (-5+4)/(3) = (-1)/(3)`

Hope this helps :)