(b) For which interval is the average value off greatest?O IIO IVeTextbook and MediaIncorrect.(c) For which pair of intervals are the average values equal?O IVO II For the even function f in the figure below, consider the average value of f over the following intervals:1. 0 < x < 1 II. 0 < x < 2III. 0 < x < 5 IV. -2 < x < 2f(x)-2E Incorrect.(a) For which interval is the average value of f least?10O IVOIIO II2.

We have given curve of function f, we need to discuss about it's average value of function.a. According to given graph,for intervals1 0≤x≤1 2 0≤x≤24 -2≤x≤2Function have only positive values,But for interval,3 0≤x≤5,Function have both positive and negative values,therefore,when we Calculate average value of f then, some positive value will cancel out with negative value, as result average value of function f will be least for for interval, 3 0≤x≤5therefore,Correct option is d 3 0≤x≤5 b. According to given graph,for intervals1 0≤x≤1 2 0≤x≤24 -2≤x≤2Function have only positive values,But in interval 1 0≤x≤1 function have highest value, and width of x- axis is also lower,so, this will give greatest average value of function f,Average value of f = ∑fx∆x,where,∆x = final value - initial value of intervaltherefore,1 0≤x≤1 interval have greatest average value of function f,Correct option is c 1 0≤x≤1c. According to given graph,for intervals2 0≤x≤24 -2≤x≤2Function have same positive values and their x-axis interval is also is in same proportion.therefore,2 0≤x≤24 -2≤x≤2 interval have same average value of function f,Correct option are a and c.Based on above discussion, Answer Question a : Answer : dQuestion b : Answer : cQuestion c : Answer : a and c