Question 1 0.1 pts State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not. f(x) = 16x4 + 9x3 + 6 0. Yes; degree4 O. No; the last term has no variable O. Yes; degree 7 0. Yes; degree 8 Question 11 0.1 pts Find the domain of the rational function. f ( x ) = 6x2 (x - 3)(x - 1) O {x /x # 3, x# 1} O (x/x #-3, x#-1} O {x/ x # 3, x# 1, x#-6} O all real numbersQuestion 12 0.1 pts Find the domain of the rational function. g (x) = x+3 x2 + 16 O {x/x #0,x#-16} O ( x / x # -4, x # 4, x#-3} O {x/x#-4, x # 4} all real numbers\f\fQuestion 15 0.1 pts Give the equation of the horizontal asymptote, if any, of the function. h (x ) = 9x - 3 x - 5 Oy= 9 Oy=0 O y = 5 O no horizontal asymptotesQuestion 16 0.1 pts Give the equation of the horizontal asymptote, if any, of the function. 8(x) = X2 + 8x - 7 x - 7 Oy=1 Oy= 7 Oy=0 O no horizontal asymptotes\fQuestion 18 0.1 pts Use the Remainder Theorem to find the remainder when f(x) is divided by X - C. f(x) = x4+8x3+ 12x2;x+1 OR =-21 OR =5 OR=-5 OR = 21Question 19 0.1 pts Use the Factor Theorem to determine whether x - c is a factor of f(x). f(x)=x3+5x2- 12x+ 14;x+7 (:3 Yes (:3 No Question 2 0.1 pts State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not. 1E(x)=1+E X C) Yes; degree 14 C) No; x is raised to a negative power IC)I Yes; degree 1 0 Yes; degree 0 \fQuestion 3 0.1 pts State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not. f(x) = x4'3 - x3 + 10 C) Yes; degree 4/3 C) Yes; degree 3 C) Yes; degree 4 C) No; x is raised to non-integer 4/3 power Question 5 0.1 pts Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. Zeros: -3, -2, 2; degree 3 Of(x) = x3+3x2- 4x- 12 Of(x) = x3 + 3x2+ 4x+12 Of(x) =x3-3x2- 4x +12 Of(x) = x3- 3x2+4x- 12Question 6 0.1 pts Find a polynomial function with the given real zeros whose graph contains the given point. Zeros: -4, 3, 5 Degree 3 y-intercept: -180 O f(x) = 3(x +4)(x - 3)(x - 5) or f(x) = 3x3+ 12x2 - 51x -180 O f(x) = 4(x + 4)(x - 3)(x - 5) or f(x) = 4x3+12x2+ 16x-180 Of(x) = -4(x + 4)(x - 3)(x - 5) or f(x) = -4x3+ 12x2 +16x-180 Of(x) = -3(x + 4)(x - 3)(x - 5) or f(x) =-3x3+ 12x2 +51x -180Question 7 0.1 pts For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. f ( x ) = =x4(x 2- 5) 0, multiplicity 4, touches x-axis O 0, multiplicity 4, crosses x-axis 0, multiplicity 4, touches x-axis; 5, multiplicity 1, crosses x-axis; -5, multiplicity 1, crosses x-axis 0, multiplicity 4, crosses x-axis; 5, multiplicity 1, touches x-axis; -5, multiplicity 1, touches x-axis\f
