a) Draw a graph of the function y = 2x - V7 x2 b) Use the graph in (a) to give a numeric approximation of the solution to the equation 2X - V7 = 0 x2 2x Graph the function y = 3 _ 4x2 - 4X a) Give the equation of the graph of any rational function that has a slant asymptote. b) Give the equation of the graph of any rational function that has a 'hole' where you would initially assume there was a vertical asymptote. c) Give the equation of the graph of any rational function that has no vertical asymptotes. d) Give the equation of the graph of any rational function that has no positive y-values defined in its range. Describe the behaviour of the function f (x) = (x +1 ) ( x + 2) as x -> -2 from both sides. A company's outstanding product marketing math wiz determines that the average cost per unit of producing the newest nuclear reactor is modeled by the equation c _ 0.2X" + 6x +5, where 'C' is the cost and 'x" X is the number of reactors sold. Sketch the graph of this function and determine the number of reactors that should be produced to minimize the average cost per unit to the company