hw

9.

In parts (a) and (b), use the given figure. (a) For what value of x does f(x) = g(x)? (a) Solve the equation: f(x) = g(x). (b) Solve the inequality f(x) > g(x). X = O y = f(x) y =g (0) (-5,2) X\fThe point at which a company's profits equal zero is called the company's break-even point. Let R represent a company's revenue, let C represent the company's costs, and let x represent the number of units produced and sold each day. R(x) = 300x C(x) = 160.5x + 69,750 (a) Find the firm's break-even point; that is, find x so that R = C. (b) Find the values of x such that R(x) > C(x). This represents the number of units that the company must sell to earn a profit. (a) x= (Type a whole number.)\f\f\fUse The funcens x} = x2 1 and g(x} = 4x + '1 1 to answer parts Eel{g}. {a} Salve x} = I]. {d} Solve x} 2 El. {g} Salve x} 2 1. {b} Salve g|[x} = E]. {e} Solve g[x] s U. {c} Salve x} = gEx}. {f} Salve f{x} s g(x}. 4 _ P c:} {a} The selutien to x}: a is x= E {Type an integer er a fraction. Use a comma to separate answers as needed.) \f\f\fFor the polynomial function x} = Elx 2}[x + 5]2 answer the following questions. [a] List each real zero and its multiplicity. [b] Determine whether the graph crosses or touches the xaxis at each x-intercept. {c} Determine the maximum number of turning points on the graph. [d] Determine the end behayior; that is, nd the power function that the graph of f resembles for large 1.ralues of |x|. [3] Find any real zeros of t. Select the correct choice below and. ifnecessary, ll in the answer boxles] to complete your choice. [:1 151- The real zero of t is with multiplicity [Type an exact answer. using radicals as needed. Type integers or fra ctions.} [:1 E- The smallest zero of f is with multiplicity . The largest zero of t is with multiplicity [Type an exact answer. using radicals as needed. Type integers or fra ctions.} [:1 C- The smallest zero of f is with multiplicity . The middle zero off is with multiplicity . The largest zero of f is with multiplicity [Type an exact answer. using radicals as needed. Type integers or fra ctions.} [:1 D. There are no real zeros. Determine whether the graph could he The graph G of a polynomial function. If it could be, list The real zeros and state the least degree the polynomial G can have. E Select the correct choice below and ll in any answer boxes within your choice. Cl 151- The graph shows a polynomial function. The real zerois} isiare . The least degree the polynomial can have is {Use a comma to separate answers as needed. Round to the nearest integer as needed.) {El E. The graph does not show a polynomial function. Determine whether the graph could he the graph of a polynomial function. If it could be, list the real III-III...- zeros and state the least degree the polynomial III-IlIIIII E can have. Select the correct choice below and ll in any answer boxes within your choice. D A- The graph shows a polynomial function. The real zerots} istare _ The least degree the polynomial can have is [Use a comma to separate answers as needed. Round to the nearest integer as needed} C} E. The graph does not show a polynomial function. Use the graph shown to find the following. (a) The domain and range of the function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any TTTTTT (e) Oblique asymptotes, if any -14 (a) What is the domain? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain of the function is {x | (Type an inequality in the form x # . Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain of the function is the set of all real numbers.Use the graph shown to find the following. (a) The domain and range of the function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any -12 12 (e) Oblique asymptotes, if any (a) What is the domain? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain of the function is {x I (Type an inequality in the form x # . Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain of the function is the set of all real numbers.\f