The equation C(t)=4t/t^2+2 describes the concentration of a medicine in the bloodstream after a fixed number of hours. The concentration is measured in parts per million. Identify the graph of this rational function.

Question

contestada

Respuesta :

calculista calculista · Answer 1 · 2018-10-24T18:21:43+02:00

Let

C(t)--------->the concentration of a medicine in the bloodstream

t---------> the number of hours

we have

[tex]C(t)=4t/(t^{2}+2)[/tex]

Using a graphing tool

see the attached figure

The domain of the function is all positive real numbers------> [0,∞)

The range of the function is the interval----------> [0,1.414]

therefore

the answer in the attached figure

Answer Link

ahirohit963 ahirohit963 · Answer 2 · 2021-10-18T14:59:55+02:00

Refer the below solution for better understanding.

Step-by-step explanation:

Given :

[tex]C(t)= \dfrac{4t}{t^2+2}[/tex]

where,

C(t) - concentration of a medicine in the bloodstream

t - number of hours

Solution :

Refer the attached graph given below.

Domain of C(t) is [tex][0,\infty)[/tex]

Range of C(t) is [0 , 1.414]

For more information, refer the link given below

https://brainly.com/question/12465796?referrer=searchResults

Answer Link