Function g gives the amount of a chemical in a persons body in milligrams t hours since the pain ent took the drug. The equation g(t)=600•(3/5)t.

a. What does the fraction (3/5) mean?

B. What are the domain and range of g?

C. Sketch a graph of g

Respuesta :

The fraction 3/5 means that every hour, the amount of chemical increase by a factor of 3/5.

The domain of the function is (0, ∞) and the range is (600, ∞)

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let g represent the amount of a chemical in a persons body in milligrams t hours since the patient took the drug.

[tex]g(t) = 600(\frac{3}{5} )^t[/tex]

The fraction 3/5 means that every hour, the amount of chemical increase by a factor of 3/5.

The domain of the function is (0, ∞) and the range is (0, 600)

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