Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function C(t) = -2t2 + 8t, where the time, t, is hours after injection. Part A: What are the domain and range of the function C(t) based on the context of the problem? Show all necessary calculations. (5 points) Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body. (5 points) SuperscriptA polynomial f (x) has the given zeros of 6, -1, and -3. Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form. Show all necessary calculations. (3 points) Part B: Divide the polynomial f (y) by (x2 - x - 2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote. (4 points) Part C: List all locations and types of discontinuities of the function g(x). Be sure to check for all asymptotes and holes. Show all necessary calculations. (3 points)