Question

Determine the domain and range of each function.1.{(-2,4), (0,3), (5,8), (8,11)}Domain:Range:

Answer 1

`\begin{gathered} \begin{equation*} Domain:{}{}\lbrace-2,0,5,8\rbrace \end{equation*} \\ Range:\lbrace4,3,8,11\rbrace \end{gathered}`

Step-by-step explanation:

Step 1. The points we have for the function are:

`\left(-2,4\right),\left(0,3\right),\left(5,8\right),\left(8,11\right)`

Where the points are in the form (x, y) --> the first number represents the x-value and the second number represents the y-value.

Step 2. The Domain of a function is the set of x-values possible.

In this case, given by the set of points, we can find the set of x-values (Domain):

`Domain:{}{}\lbrace-2,0,5,8\rbrace`

Step 3. The Range is the set of y-values possible for the function. It can also be found by the points, this time, by the second number of the points:

`Range:\lbrace4,3,8,11\rbrace`

Answer:

`\begin{gathered} \begin{equation*} Domain:{}{}\lbrace-2,0,5,8\rbrace \end{equation*} \\ Range:\lbrace4,3,8,11\rbrace \end{gathered}`