Consider the given function and the given interval. f(x) = (x − 2)2, [1, 4](a) find the average value fave of f on the given interval. fave =(b) find c such that fave = f(c).c = (smaller value)c = (larger value)(c) sketch the graph of f and a rectangle whose area is the same as the area under the graph of f.

Asales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. the representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. she uses the given expression to model the number of club members, in hundreds, after advertising for t months.