O Question 1 (10 marks) A specific section of Mathews' gastronomic tract can be modeled by the function. g(x)= -x5 + 18x* -117x3 +320x'-300x where x represents distance traveled by the scope, in cm, and g (x) refers to the vertical height within the body relative to the belly button, in micro mm. a) (5 marks) Rewrite this equation in factored form, Show all of your work. b) (2 marks) Use this information to sketch a graph, by hand, of this section of Mathews' small intestine. c) (1 mark) Determine the domain of this function. sin d) (2 marks) Bacterial culture samples were taken at two unique points along the journey. Clearly mark these points on your graph. . At the only root with order two e) State the intervals that the vertical height is positive. [2]