5. The half-life of a particular drug is 6 hours. When given an adult dosage, the following function can be used to model the amount of drugs, d, in an adult's system over time t in hours: A(t)=50(0.5) What would be a suitable domain and range to view only the important features of this graph? Explain your reasoning.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. The half-life of a particular drug is 6 hours. When given an adult dosage, the following function can be used to model the amount of drug, \( d \), in an adult’s system over time \( t \) in hours:

\[ A(t) = 50(0.5)^{\frac{t}{6}} \]

What would be a suitable domain and range to view only the important features of this graph? Explain your reasoning.
Transcribed Image Text:5. The half-life of a particular drug is 6 hours. When given an adult dosage, the following function can be used to model the amount of drug, \( d \), in an adult’s system over time \( t \) in hours: \[ A(t) = 50(0.5)^{\frac{t}{6}} \] What would be a suitable domain and range to view only the important features of this graph? Explain your reasoning.
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