3/Desktop/MAC%201106%201140%20LabWork%209a.pdf ASUS E-Service MAC 1106/1140 LabWork 9a Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Give the equation of the horizontal asymptote, if any, of the function. 1) f(x ) _ x( x - 1 ) 3 + 25x A) no horizontal asymptotes B) x = 0, x = -25 Cy =0 D)y = 1 Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. 2) f(x) -3x4 - 8x3 + 11x2- 16x + 10 (2) A) 2, 2; f(x) = (x - 2) (3x - 5)(x2 + 1) B) -2, -1, 1, -; f(x) = (x - 1)(3x - 5)(x + 1)(x + 2) C) 1, 2; f(x) = (x - 1)(3x - 5)(x2 + 2) D) -2, -1, 1, - ; f(x) = (x - 1)(3x + 5)(x + 1)(x + 2) Solve the inequality algebraically. Express the solution in interval notation. 3) 9 X - 4 x +9 3 ) A) (-9, 76) B) (-9, 12) C) (-9, 12] D) (-9, 76] Solve the problem. 4) The owner of a video store has determined that the cost C, in dollars, of operating the store is 4) approximately given by C(x) = 2x2 - 22x + 780, where x is the number of videos rented daily. Find the lowest cost to the nearest dollar. A) $841 B) $538 C) $659 D) $720 12 O W F4 F5 F6 F7 F8 F9 F10 F11 X A-10 10 (5 , - 4 ) (3. -4) (-8, -6) (-8, -6) -10 Solve the system of equations. 7) -13 + 4z =3(x - 2y) 7 ) 3(x - 4y - Z) = -18 -3(2x + y) +3z =6 A) ((-1, 3, 3)} B) {(-1, 1, 1)} C) {(-1, -3, 1)} D) ((-1, 3, 1)] Form a polynomial f(x) with real coefficients having the given degree and zeros. 8) Degree: 3; zeros: -2 and 3 + i. 8) A) f(x) = x3 - 4X2 - 2x + 20 B) f(x) =x3 - 6x2 - 10x + 20 C) f(x) -x3 - 4x2 - 10x+ 20 D) f(x) =x3 - 8x2 + 2x + 20 List the potential rational zeros of the polynomial function. Do not find the zeros. 9 ) f ( x ) = -2x3 + 2x2 - 4x+8 9) A) + 7, +1,+2,+4, +8 B ) + 8 , t , + 5 , + 1 , + 2 , + 4, + 8 C) + +- + 7, +1,+2, + 4, +8 D) + 5, + 1, +2,+4 Solve the inequality algebraically. Express the solution in interval notation. 10) x3 + 2x2 - 63x >0 10) A) (-9, 00 ) B) (-0, -9) 0 (0, 7) ") (-9, 0) - (7 , -) D) (-7, 0) ~ (9 , - ) 2 O W F2 F3 F4 FE F7 F8 F9 F10 F17 22 6 8 9 O