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

x f(x)
0 500
1 484
2 436
3 356
4 244
5 100

-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

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

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

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.

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

i would need to see the dot plot : )