<p>Chapter 3 Test A Review Do pp. 406-407 1 (graph only),2(graph only),10-13,28,29,37,38,41,44,45 1) You have 116 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.</p><p>A) length: 58 feet, width: 58 feet B) length: 58 feet, width: 29 feet C) length: 29 feet, width: 29 feet D) length: 87 feet, width: 29 feet</p><p>2) A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 576 feet of fencing is used. Find the maximum area of the playground.</p><p>A) 20,736 B) 15,552 C) 13,824 D) 10,368 </p><p>3) The owner of a video store has determined that the profits P of the store are approximately given by</p><p> where x is the number of videos rented daily. Find the maximum profit to the nearest dollar.</p><p>4) The daily profit in dollars of a specialty cake shop is described by the function where x is the number of cakes prepared in one day. The maximum profit for the company occurs at the vertex of the parabola. How many cakes should be prepared per day in order to maximize profit? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 5) n = 3; 2 and 3i are zeros; leading coefficient is 1 6) n = 4; 2i, 7, and -7 are zeros; leading coefficient is 1</p><p>Graph the polynomial function. Be sure to find all zeros, maximums, minimums, and points of inflection. 7) f(x) = </p><p>8) f(x) = </p><p>9) Find the y’ and y” for </p><p>10)a. Find f(12) if f(x)= b. Rewrite the function by using long division. Use this new form to find f(12). c. Is f(x) a polynomial function?</p><p>11. If the first derivative is negative to left of a critical point and the first derivative is positive to the right of the critical point, is the point a relative maximum or relative minimum?</p><p>12. The concavity of a function’s graph changes at what point? 1) B 2) C 3) $ 302 4) 24 cakes</p><p>5) f(x) = + 4 + 6x - 36 4 2 6) f(x) = x - 45x - 196 7) </p><p>8) </p><p>9) </p>