Please answer all 4 questions

The graph of a rational function has the form y = ( x - a ) (x - b ) (x - b ) (x - c ) . For this function a, b, CEI. This function has an asymptote of x =5 , an x-intercept of 3 and a point of discontinuity at (-2, n). The value of n in decimal form to the nearest tenth is If p, q, and r are real numbers that may or may not be equal, the graph of the function f(x) = (X -p)(x -q)2 (x - r ) , can have a minimum of _A_vertical asymptotes, a maximum of _B_ vertical asymptotes, a minimum of _C_ points of discontinuity and a maximum of _D_ points of discontinuity. Enter your response (no spaces or commas) as ABCD. Answer: A rational function has the following characteristics: . A domain of {x x * - 3, x * 4, x ER) A range of yy x 1. y = =.YER A vertical asymptote at x = 4 A horizontal asymptote at y = 1 A point of discontinuity when y = 7 . A zero at x = 1 Determine the A, B, C and D values for a possible equation for this fraction in factored form. (x - A ) (x + B ) y = (x - C) (x + D) State your answer as ABCD. (Do not include spaces or commas) Answer: When the polynomial f(x) = 2x3-17x + 15 is divided by g(x) =(x -1), the result is of the form ax2+ bx -c, where a, b and c E N. The values of a, b and c are . (Enter digits only. Do not enter spaces or commas.)