Looking at the graph, we can see that the only possible value for is
Next, we will graph for the domain This function has a slope of and intercepts the vertical axis at Since the endpoints are not included, this piece should have open circles on both ends.
Looking at the graph, we can see that all the possible values for are between and
Then, we will graph for the domain This function has a slope of Since the endpoint is included, we will end the piece with a closed circle.
From the graph, we can see that all the values for that are less than or equal to will be produced by this piece.
Finally, we can combine the pieces onto one coordinate plane.
Looking at the pieces together, we can see that there are no gaps in the possible values of Conversely, the values that takes are less than or equal to or greater than and less than or equal to We can use these facts to write the domain and range of the function.