The price p [in dollars} and the quantity 3: sold of a certain product satisfy the demand equation x = 9p + 900. Answer parts (a) through [9). (a) Find a model that expresses the revenue R as a function of p. (Remember, R =xp.) Ripi=D (Simplify your answer. Use integers or decimals for am,r numbers in the expression.) (b) What is the domain of R? Assume that R is nonnegatiye. [:3 A- The domain is {pl Sp; }. (Simplify your answers. Type integers or decimals] [:1 B. The domain is the set of all real numbers. c) What price p maximizes revenue? p=5 Simplify your answer. Type an integer or a decimal.) d) What is the maximum revenue? R = $ Simplify your answer. Type an integer or a decimal.) e) How many units are sold at this price? FD Simplify your answer. Type an integer or a decimal.) f} Graph R on your paper. (5]) What price should the company charge to earn at least $17339 in revenue? The company should a price between a minimum of SD and a maximum of 53D. (Simplify your answers. Type integers or decimals.) The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x = - 8p + 400. Answer parts (a) through (9). (a) Find a model that expresses the revenue R as a function of p. (Remember, R = xp.) R(p) =0 (Simplify your answer. Use integers or decimals for any numbers in the expression.) (b) What is the domain of R? Assume that R is nonnegative. O A. The domain is

X (2164 (03) X X (0,-3)Use a transformation of the graph of y : x5 to graph the fundion. h(x)=2(x1}5 Choose the correct graph mum, on. Form a polynomial whose zeros and degree are given. Zeros: 4, multiplicity 1; 3, multiplicity 2; degree 3 Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below. f(x) =] (Simplify your answer.)Construct a polynomial function fwith the following characteristics. zeros: 2, 1. and 4 degree 3 yintercept: 24 Choose the correct answer below. '2.) A- rm 2 so: + zx 1){x 4) 5.} B. x) = 30: + 2H): 1){x 4) -:j :3 (3. rm 2 so: + 2m: 1){x 4) {j} D. for} : {x + 2}{x 1H): 4} For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of |x|. f ( x) = (x- 4) (x + 6)2 (a) Find any real zeros of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The real zero(s) of f is/are (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. There are no real zeros.Determine whether the graph could be the graph of a polynomial function. If it could be, list the real zeros and state the least degree the polynomial can have. Ay 5- X Select the correct choice below and fill in any answer boxes within your choice. O A. The graph shows a polynomial function. The real zero(s) is/are . The least degree the polynomial can have is (Use a comma to separate answers as needed. Round to the nearest integer as needed.) O B. The graph does not show a polynomial function.Construct a polynomial function that might have the given graph. 4 x Which of the following is a polynomial function that might have the given graph? O A. f( x ) = =(x+1)(x - 1)2 (x- 2) O B. f( x ) = =(x+1)(x - 1)(x- 2) O c. f(x) = 7(x+1)(x - 1)(x- 2)2 O D. f(x) = -7(x+1)(x- 1)(x- 2) O E. f(x) = 7(x+1)2(x- 1)(x-2)2 OF. f(x) = - 7(x+1)(x- 1)2(x-2)y Write the equation of a polynomial function that passes through A, B, C and D. 6 f (ac ) = 4 D N W B CAr 5 -4 -3 -2 -1 1 2 3 4 5Write the equation of a function with zeroes at x = -4,x = 1. f (ac) =