APPLICATION 6. Complete the tables below and use the information to sketch the graph of f(x). [5pt] Using the function the following was determined: . There are intercepts at (x, y) = (2, 0), (-1, 0). . Vertical Asymptote The line x = 3 is a vertical asymptote. lim f (x) = c and lim f (x) = 0% . Horizontal Asymptote lim f (x) =2 Using the first derivative the following was determined: . The slope of the tangent is horizontal at x = 0.5 INTERVALS x 3 f '(x) (-) (+) (-) f(x) The function has a local minimum at (x, y) = (0.5, -3). Using the second derivative the following was determined: . f "(x) = 0 at x = -1. INTERVALS X3 f (x) (-) (+) ( +) f(xx) The function has an inflection point at (x, y) = (-1, 0)