Question 1(multiple choice worth 5 points) (04.03 mc) find the horizontal asymptote of f of x equals quantity negative 2 x squared plus 3x plus 5 end quantity over quantity x squared plus 1. y = −2 y = −1 y = 1 y = 2 question 2(multiple choice worth 5 points) (03.02 lc) given a polynomial f(x), if (x − 1) is a factor, what else must be true? f(0) = 1 f(1) = 0 f(−1) = 0 f(0) = −1 question 3(multiple choice worth 5 points) (03.04 lc) use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x) = (x − 2)(x − 1)(x − 4). the graph starts at the top left, continues down through the x axis at 1 to a minimum around y equals negative one half, goes back up through the x axis at 2 to a maximum around y equals 2, and goes back down through the x axis at negative 4. the graph starts at the bottom left, continues up through the x axis at negative 4 to a maximum at y equals 2, goes back down through the x axis at negative 2 to a minimum around y equals one half, and goes back up through the x axis at negative 1. the graph starts at the top left, continues down through the x axis at negative 4 to a minimum around y equals negative 2, goes back up through the x axis at negative 2 to a maximum around y equals one half, and goes back down through the x axis at negative 1. the graph starts at the bottom left, continues up through the x axis at 1 to a maximum around y equals one half, goes back down through the x axis at 2 to a minimum at y equals negative 2, and goes back up through the x axis at 4. question 4(multiple choice worth 5 points) (04.01 mc) what is the simplified form of the quantity y squared minus y minus 12 over the quantity y squared minus 2y minus 15? y minus 4 over y minus 5 y minus 4 over y plus 5 y plus 4 over y minus 5 y plus 4 over y plus 5 question 5(multiple choice worth 5 points) (03.03 lc) how does the graph of g(x) = (x − 8)3 + 3 compare to the parent function f(x) = x3? g(x) is shifted 8 units to the left and 3 units up. g(x) is shifted 3 units to the right and 8 units down. g(x) is shifted 8 units to the right and 3 units up. g(x) is shifted 3 units to the right and 8 units up. question 6(multiple choice worth 5 points) (03.01 mc) what is the remainder when (2x3 + 4x2 − 32x + 18) ÷ (x + 3)? 2 12 96 110 question 7(multiple choice worth 5 points) (03.03 mc) what polynomial has roots of −6, −4, and 1? x3 − 9x2 − 22x + 24 x3 − x2 − 26x − 24 x3 + x2 − 26x + 24 x3 + 9x2 + 14x − 24 question 8(multiple choice worth 5 points) (04.03 mc) find the vertical asymptote(s) of f of x equals quantity 3 x squared plus 3x plus 6 end quantity over quantity x squared minus 25. x = −3, 3 x = −3, 5 x = 3, −5 x = −5, 5 question 9(multiple choice worth 5 points) (03.01 lc) what is the quotient (3x3 − x2 − x − 1) ÷ (x − 1)? 3x2 − 2x + 1 3x2 − 4x + 1 3x2 + 2x + 1 3x2 + 4x + 1 question 10(multiple choice worth 5 points) (04.02 mc) what value is a discontinuity of x squared plus 8 x plus 4, all over x squared minus x minus 6? x = −1 x = −4 x = −3 x = −2 question 11(multiple choice worth 5 points) (03.04 lc) one zero of the polynomial function f(x) = x3 − 9x2 + 20x is x = 0. what are the zeros of the polynomial function? 0, −5, −4 0, −5, 4 0, 5, −4 0, 5, 4 question 12(multiple choice worth 5 points) (04.04 lc) solve for x using common denominators. 4 over the quantity 6 times the binomial x plus 4 equals x over the quantity x plus 4 −5 over 6 5 over 6 −6 over 5 6 over 5 question 13(multiple choice worth 5 points) (03.05 mc) which polynomial identity will prove that 16 = 25 − 9? difference of squares difference of cubes sum of cubes square of a binomial question 14(multiple choice worth 5 points) (03.04 lc) identify the zeros of f(x) = (x + 9)(x − 4)(6x + 1). −9, −1 over 6,4 9, 1 over 6, 4 −9, −1 over 6,−4 −9, 1 over 6, −4 question 15(multiple choice worth 5 points) (04.04 hc) the games have been sorted into video games and board games. the number of video games is 28 less than 6 times the number of board games. the games are 80% video games. how many board games are there? 8 10 13 14