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{ = }(\Delta y)/(\Delta x)\text{ = }(y2-y1)/(x2-x1)`
`\text{average = }(23-71)/(6-0)=(-48)/(6)=-8`

The answer is:

The average rate of change is - 8