AP CollegeBoard AP PRECALCULUS Test Booklet Unit 1 Progress Check: FRQ Part B The rational function t is given by t(ac) = (x+2)(x-1)(2-4) 5(2+3)(x-1)(x-3) . The function t is graphed in the acy-plane. 1. Part A Determine equations for all vertical asymptotes of the graph of t, or state that no vertical asymptotes exist. 2. Part B ? Find all real zeros of t, or state that no real zeros exist. 3. Part C Determine if the graph of t has any horizontal asymptotes or slant asymptotes. Write equations for those asymptotes, or state that no horizontal asymptotes or slant asymptotes exist. Give a reason for your answer. The polynomial functions f and g are given by f (x) = -5(x - 2)(x - 4)(x + 1) and g(x) = 2(x - 4) (x + 3), respectively. The rational function h is defined by h (a) = fix 4. Part A The function f is graphed in the xy-plane. Determine the coordinates of all local minima of f and all local maxima of f, or state that f has no local minima or no local maxima. Label your answers appropriately. ? 5. Part B In the xy-plane, the graph of h has a hole at the point with coordinates (c, L). It is known that lim h(x) = L, and that there are consecutive integers a and b for which a