Question

The graph shows the function f(x).

Which value is closest to the average rate of change from x = 1 to x = 4?



a. −3.5
b. ​ −2.3

c. ​​ −1.4
​​d. −0.3

Answer 1

I took the test it is B. -2.3 good luck on the tests!

Answer 2

a) -3.5

Explanation:

The average rate of change of a function f(x) from x=a to x=b is given by:

`(f(b) - f(a))/(b - a)`We want to find the average rate of change of change of the given function from x=1 to x=4.

From the graph,

`f(4) \approx \: - 3.8`

`f(1) = 3`

The average rate of change is:

`( - 3.8 - 3)/(4 - 1) = ( - 6.8)/(2) = - 3.4`

a) is closest