MATH 205 Midterm: MATH 205 KSU Test 2f02
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Please read the problems carefully and show all your work. (5 pts) 1. Find the rule of correspondence for the linear function f whose graph contains the given points ( 1, 3) and (4, 8) . (10 pts) 2. Sketch the graph of the quadratic function y = 3x2 + 6x + 24 after. For the linear-to-linear rational function below, nd the asymptotes and the point at which the graph intercepts the vertical axis. page 2 of 5 pages y = For the functions f and g nd (f g)(x) and (g f )(x) . You do not have to simplify. f (x) = x x + 1 and g(x) = 2x + 7 (10 pts) 5. Find the inverse of the function f (x) = page 3 of 5 pages x 2 x + 2. , (x 6= 2) . (15 pts) 6.