Domain = Set of all real numbers, which is choice B Range = Choice C) [tex]y \le 3[/tex]
The domain is the set of allowed x value inputs of a function. In this case, we can plug in any x value we want. The graph stretches forever in both directions along the x axis. This is shown by the arrows.So that's why the domain is the set of all real numbers.
The range is the set of outputs of a function. It is the set of possible y values. As you can see on the graph, the highest point is at (-1,3) which is the vertex. The largest y value possible is y = 3. Any other y value smaller than this is possible. So the range is therefore [tex]y \le 3[/tex] where y is a real number
