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

Answer:

a) -3.5

Step-by-step explanation:

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

$\frac{f(b) - f(a)}{b - a}$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:

$\frac{ - 3.8 - 3}{4 - 1} = \frac{ - 6.8}{2} = - 3.4$

a) is closest

Answer 2

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