MAT 110 Test 2 Name ESSAY. Write your answer in the space provided or on a separate sheet of paper. Use the equation and the corresponding graph for the quadratic function to find what is requested. 1) f(x) = (x 1)2 2 Find the domain, range and equation of the axis, Graph the function and find the vertex of the function, f(x). 2) f(x) = -2x2 - 36x 167 Solve the problem. 3) The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) : 16x - x2. What rainfall produces the maximum number of mosquitoes? 4) Your company uses the quadratic model y : 11x2 + 350x to represent how many units (y) of a new product will be sold (x) weeks after its release. How many units can you expect to sell in week 24? 5) The table shows the population of a city over the past five years. Population Year (in millions of people) 65 65.5 67 69 71.5 iAUJNiI We used these data to develop the quadratic function f(x) : 0.037214x2 + 0.364x + 65, which models the population of the city y in millions in the year x. Use the model to find the estimated population in year 10. Use synthetic division to perform the division. 2x3 13x2 + 23x 12 6) x4