An empty 16 gallon tank is being filled with gasoline at a rate of 2 gallons per minute. State the Domain and Range using interval notation or set notation

Respuesta :

The volume of gasoline in the tank as a function of time can be determined as,

[tex]V=2t[/tex]

The time taken to fill the tank can be determined as,

[tex]\begin{gathered} 16=2t \\ t=8 \end{gathered}[/tex]

Thus, the requried domain is,

[tex]t\in\lbrack0,8\rbrack[/tex]

The range of the function can be determined as,

[tex]V\in\lbrack0,16\rbrack[/tex]

Thus, the above expressions gives the required domain and range of the function.