Math Problem Statement
After taking a dose of medication, the amount of medicine remaining in a person's bloodstream, in milligrams, after xx hours can be modeled by the function f, of, x, equals, 120, left parenthesis, 0, point, 8, 6, right parenthesis, to the power x , .f(x)=120(0.86) x . Find and interpret the given function values and determine an appropriate domain for the function. Round your answers to the nearest hundredth. Answer Attempt 1 out of 2
f, of, minus, 3, equalsf(−3)= , meaning hours after taking the dose, there are milligrams of medicine remaining in the person's bloodstream. This interpretation in the context of the problem. f, of, 42, equalsf(42)= , meaning hours after taking the dose, there are milligrams of medicine remaining in the person's bloodstream. This interpretation in the context of the problem. f, of, 8, point, 5, equalsf(8.5)= , meaning hours after taking the dose, there are milligrams of medicine remaining in the person's bloodstream. This interpretation in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is
Solution
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Math Problem Analysis
Mathematical Concepts
Exponential Decay
Functions
Algebra
Formulas
f(x) = 120(0.86)^x
Theorems
Exponential decay behavior
Asymptotic behavior
Suitable Grade Level
Grades 9-12
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