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, 85, left bracket, 0, point, 9, 5, right bracket, to the power x , .f(x)=85(0.95)^x. Find and interpret the given function values and determine an appropriate domain for the function. Round your answers to the nearest hundredth.
f(−5)= blank*, meaning blank* hours after taking the dose, there are blank* milligrams of medicine remaining in the person's bloodstream. This interpretation
-makes sense
-does NOT make sense
in the context of the problem.
f(24)= blank*, meaning blank* hours after taking the dose, there are blank* milligrams of medicine remaining in the person's bloodstream. This interpretation
-makes sense
-does NOT make sense
in the context of the problem.
f(1.5)= blank*, meaning blank* hours after taking the dose, there are blank* milligrams of medicine remaining in the person's bloodstream. This interpretation
-makes sense
-does NOT make sense
in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is
-all real numbers
-non-negative real numbers
-real numbers in, A less than or equal to X, less than or equal to B
-intergers
-whole numbers (0,1,2,...)
-positive intergers (1,2,3,...)
-intergers in A less than or equal to X, less than or equal to B
f(−5)= 184.08, meaning 5 hours before taking the dose, there are 184.08 milligrams of medicine remaining in the person's bloodstream. This interpretation does NOT make sense in the context of the problem.
f(24)= 4.43, meaning 24 hours after taking the dose, there are 4.43 milligrams of medicine remaining in the person's bloodstream. This interpretation makes sense in the context of the problem.
f(1.5)= 75.12, meaning 1.5 hours after taking the dose, there are 75.12 milligrams of medicine remaining in the person's bloodstream. This interpretation makes sense in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is all real numbers.