6.5 Average Value of a Function Question #1 (Easy)
6.5 Integral Applications
Average Value of a Function
Question #1 (Easy): Finding the Average Value of a Polynomial Function
Average value of a function is determined by adding all the data points , then dividing it by the
number of data points . Rearranging
1) Find the average value of the function over the interval .
2) Find the value of so that .
1) Average value of a function:
Given the interval , and . Substitute into the equation:
Therefore, the average value of the function over the interval is .
, and , then set these equal to each other:
. So finally