Question 1 (10 marks) A specic section of Mathews' gastronomic tract can be modeled by the function g(x) = x5 +11x4 43x3 + 69x2 36x , 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 cm. 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. d) (2 marks) Bacterial culture samples were taken at two unique points along the journey. Clearly mark these points on your graph. 0 At the rst turning point 0 At the only root with order two