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If p, q, r and s are real numbers that may or may not be equal, the graph of the function f(x) = ( x

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If p, q, r and s are real numbers that may or may not be equal, the graph of the function f(x) = ( x - p ) ( x - q ) ( x -1) ( x - s) 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, XER } of . A range of vy = 1. y = =.vex; . A vertical asymptote at x = - 3 . A horizontal asymptote at y = 1 . A point of discontinuity when y = 11 7 . A zero at X = -7 Determine the A, B, C and D values for a possible equation for this function in factored form. (X - A ) (X +B) y = - ( x - C ) (x + D ) State your answer as ABCD. (Do not include spaces or commas)

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