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Thinking Task # 2 Rational Functions. Total 11 marks Given the following two functions shown below. The graph in green is y = f(x) and the graph in blue is y = g(x) -15-14 -12 11 10 9 8 4 26 5 A (-2.5-0.556) Determine the intervals on x where f(x) > g(x). Your solution must be entirely algebraic. Simply reading the intervals off of the graph will result in a mark of zero. Note: The horizontal asymptote for y = f(x)is y = 1 and the vertical asymptote is x = -7 The horizontal asymptote for y = g(x) is y = -1 and the vertical asymptote for y= g(x) is x=2 [6 marks] Show your work on the following page.

2. A function f(x) has the following properties. a. There is a hole at x = b. There are two zeroes. One zero occurs when x = = c. The equation of the horizontal asymptote is y = d. The equation of the vertical asymptote is: x = e. The function passes through the point (0,2) Determine the equation of the rational function and state the 2nd zero. [5 marks]