[tex](-\text{infinity, -1) }\cup\text{ }\lbrack2,\text{ infinity) (third option)}[/tex]Explanation:
The range are the y values of a function.
We have two arrows on the graph
The arrow by the left:
The y value is between y = -1 towards the negative y axis
Since the circle at the end of te arrow is open, it means -1 is not included. This is represented as (
[tex]\begin{gathered} \text{In interval notation}\colon \\ (-\text{infinity, -1)} \end{gathered}[/tex]
The arrow by the right:
The y value starts at y = 2 and extends to the positive side of the y axis
The circle at the end is shaded, this means y = 2 is included. This is represented as [
[tex]\begin{gathered} In\text{ interval notation:} \\ \lbrack2,\text{ infinity)} \end{gathered}[/tex]
Combining both function as piece-wise function:
[tex]\begin{gathered} \text{Range:} \\ (-\text{infinity, -1) }\cup\text{ }\lbrack2,\text{ infinity) (third option)} \end{gathered}[/tex]
