Home » Blog » Find a value at which functions are equal to their mean on an interval Find a value at which functions are equal to their mean on an interval by RoRi August 17, 2015 Let on the interval . Find with such that equals the average of on the interval. Do part (a) with for . We want to equal the average of on , so we set them equal and solve: Again, we set equal to the average of on : Related