Question

Given the function defined in the tablebelow, find the average rate of change, insimplest form, of the function over theinterval 0 < x < 6.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Table

Step 02:

average rate of change

$average\text{ = }\frac{\Delta y}{\Delta x}\text{ = }\frac{y2-y1}{x2-x1}$$\text{average = }\frac{23-71}{6-0}=\frac{-48}{6}=-8$

The answer is:

The average rate of change is - 8