Question 1165873
Another way to identify the {{{domain}}} and {{{range}}} of functions is by using graphs. 
Because the {{{domain}}} refers to the set of possible {{{input}}} values, the domain of a graph consists of all the input values shown on the {{{x}}}-axis. 
The range is the set of possible {{{output}}} values, which are shown on the{{{ y}}}-axis. 
Keep in mind that {{{if}}} the graph continues beyond the portion of the graph we can see, the {{{domain}}} and {{{range}}} may be {{{greater}}} than the visible values.

1 example:

<a href="https://www.imageupload.net/image/EaLwh"><img src="https://img.imageupload.net/2020/09/25/graph.th.png" alt="graph.png" border="0" /></a>

We can observe that the graph extends {{{horizontally}}} from {{{-5}}}( and {{{-5}}} is included) to the right {{{without}}}{{{ bound}}}, so the domain is  [{{{-5}}},{{{infinity}}} ). 

The vertical extent of the graph is all {{{range}}} values {{{5}}} and below, so the range is({{{-infinity}}} ,{{{5}}}]. 

Note that the {{{domain}}} and {{{range}}} are {{{always }}}{{{written }}}from {{{smaller}}} to {{{larger}}}{{{ values}}}, or from {{{left}}} to {{{right}}} for {{{domain}}}, and from the{{{ bottom}}} of the graph to the {{{top }}}of the graph for {{{range}}}.