Use the graph of the rational function, g(x), pictured below to answer the following questions: a) Complete the following statements: 2+ As x-o, the graph of g(x)-- As x-3*, the graph of g(x)-_ As x-17, the graph of g(x). b) What factor is guaranteed to be in both the numerator and denominator of the equation of g(x)? Justify your answer. -10 $ 10 c) What factor is guaranteed to be in the denominator of g(x) but not in the numerator? Justify your answer. d) If g = 0, what factor is guaranteed to be in the numerator but not in the denominator? Justify. e) Identify the horizontal asymptote and hence write the equation of g(x). 5