Question

Find Average Value of a Function over an Interval

What mathematical concept involves determining the average value of a function over a specified interval?

A) Mean Value Theorem
B) Central Limit Theorem
C) Rate of Change
D) Area under the Curve

Answer 1

The Mean Value Theorem involves determining the average value of a function over a specified interval.

Step-by-step explanation:

The mathematical concept that involves determining the average value of a function over a specified interval is the Mean Value Theorem. The Mean Value Theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one number c in the open interval (a, b) such that the instantaneous rate of change at c is equal to the average rate of change over the interval [a, b]. In other words, the average value of the function over the interval is equal to the value of the derivative at some point in the interval.