Question

The table shows the values of a function f(x). What is the average rate of change of f(x) from 1 to 4?

Answer 1

Answer:

-80

Step-by-step explanation:

The average rate of change is

a.r.c = f(4) - f(1)

        --------------

             4-1

f(4) = 244 and f(1) = 484

a.r.c = 244  - 484

        --------------

             3

        = -240/3

      =-80

Answer 2

Answer:

The average rate of change of f(x) from 1 to 4 is -80.

Step-by-step explanation:

The average rate of change of f(x) from a to b is defined as

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

The average rate of change of f(x) from 1 to 4 is defined as

$m=\frac{f(4)-f(1)}{4-1}$

$m=\frac{f(4)-f(1)}{3}$

From the given table it is clear that the the value of the function is 244 at x=4 and 484 at x=1. So f(4)=244 and f(1)=484. Put these values in the above equation.

$m=\frac{244-484}{3}$

$m=\frac{-240}{3}$

$m=-80$

Therefore the average rate of change of f(x) from 1 to 4 is -80.