Joshua B. answered 09/20/22
College Professor and High School Teacher specializing in Algebra
Try to draw a rectangle around your graph. Make sure your rectangle has perfect right angles and have sides that are flat (or parallel, in other words) to the x and y axii. The left and right boundaries of that box would be your domain (read the x values from the x axis). The top and bottom boundaries of this box are your range values (read from the y axis). If you are talking about a truly continuous graph, then its boundaries probably go beyond the edge of the page and can be considered infinite. But, for example, if you are dealing with parabolas (quadratics) they usually show the maximum or minimum point. For example, the range of y=x2 is [0,infinity), because the bottom of the box containing it would be at zero, but this box has no top because the graph keeps going and going. As for the sides of that box (domain), even though it looks like it stops stretching on the graph, it actually keeps getting wider and wider, so there would be no sides to contain it, and the domain would be (negative infinity, positive infinity). Hope this helps :)