Definition of domain and range in math3/20/2024 ![]() Since there is no break in the graph, there is no need to show the dot. When the first and second parts meet at x = 1, we can imagine the closed dot filling in the open dot. Now that we have each piece individually, we combine them onto the same graph. The middle part we might recognize as a line, and could graph by evaluating the function at a couple inputs and connecting the points with a line. The first and last parts are constant functions, where the output is the same for all inputs. At the endpoints of the domain, we put open circles to indicate where the endpoint is not included, due to a strictly-less-than inequality, and a closed circle where the endpoint is included, due to a less-than-or-equal-to inequality. We can imagine graphing each function, then limiting the graph to the indicated domain.
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