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’s can be given by the function C(t)=-5t^2+10t, where the time, t, is hours after injection.
Part A : What are domain and range of the function C(t) based on the context of the problem?
Part B : Graph the function to determine the greatest concentration of the medication that a patient will have in their body