493,785 views
17 votes
17 votes
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 2 ≤ x ≤ 6.

Given the function defined in the table below, find the average rate of change, in-example-1
User Paul Walker
by
3.0k points

1 Answer

24 votes
24 votes

To find the average rate of change over an interval we need to calculate how much the function has changed over that interval by subtracting the final value by the initial one and dividing by the lenght of the interval. With this in mind we have:


\begin{gathered} \text{rate}=(19-13)/(6-2) \\ \text{rate}=(6)/(4) \\ \text{rate}=1.5 \end{gathered}

The average rate of change for this interval is 1.5

User Dan Smith
by
3.1k points