Question

find the average rate of change of an exponential function f (x) over the interval 1 ≤ x ≤ 3.

Values of f (x) are shown in the following table.


a. 6

b. 12

c. 24

d. 125/3

Answer 1

Answer:

Option b. 12

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

The average rate of change is equal to

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

In this problem we have

$a=1$

$b=3$

$f(a)=f(1)=1$  

$f(b)=f(3)=25$

Substitute

$\frac{25-1}{3-1}=12$