contestada

ns Answered
Q1 Medication
10 Points
A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the
bloodstream t hours after the first dose is taken is given by the function A
200(t)el 41).
A) What is a practical domain for this function? What values of t make sense in the context of
this scenario? How long does a medication typically last? Write your answer using interval
notation
B) Use a graphing calculator to sketch the graph of the function in an appropriate window
Jabeling axes and scale. Draw your graph below. Make sure you can identify important points on
the graph
C) On what interval(s) is the amount of drug in the bloodstream increasing? Decreasing?
D) When is the amount of the drug at a maximum? Label the corresponding point on the graph
Selectes
Please select files)
Save Answer
7:40 PM
124/2022

Respuesta :

MrRoyal

The true statements are:

  • The practical domain of the function is [0,8)
  • The amount of blood decreases at interval [0,8)
  • The maximum amount of blood is 200

The equation of the function is given as:

[tex]A(t) = 200e^{-t}[/tex]

(a) The practical domain of the function

This is the value of t that makes sense for function A(t).

To do this, we plot the graph of A(t) (see attachment).

From the attached graph, the values of t that make sense are: 0 to approximately 8

Hence, the practical domain of the function is [0,8)

(b) The graph of the function

See attachment for the graph

(c) Increasing and decreasing intervals

At no interval does the amount of blood increase.

However, from the graph, the amount of blood decreases at interval [0,8)

(d) The maximum amount of blood

This is the vertex (maximum value) of the function

This is the initial value of the function.

Hence, the maximum amount of blood is 200

Read more about functions at:

https://brainly.com/question/10009899

Ver imagen MrRoyal

Otras preguntas