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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) = −2t^2 + 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.

Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body.

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Answer:

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) = −2t^2 + 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.

Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body.

Step-by-step explanation:

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