The small town was founded at starting of 1980 and its population P (in thousands) is provided by function: p(t) = -0.15t^4 + 1.7t^3 - 5.5t^2 + 20.4t + 8 A) what kind of function is this and what was initial population of town? B) during what year was town's population largest and what was population at that time? Illustrate work where necessary.