It's always a lot easier to work out the domain and range when reading it off the graph (but we must make sure we zoom in and out of the graph to make sure we see everything we need to see). According to the domain and range values we determined, (0,0) could not be a part of the range for this function. 0. Decimal representation of rational numbers. If we find ( 0,0), the square root function is undetermined at that point and does not appear to exist, so we now have evidence that our domain and range … Section 4.2 Discrete and Continuous Domains 155 Work with a partner. In a continuous graph, to determine the domain, you should focus on looking left to right of the graph. … If the graph is a function, state whether it is discrete, continuous or neither. 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. 1) Domain 2) Domain 3) Domain Mathematics. Domain and Range Continuous Graphs DRAFT. We can observe that the graph extends horizontally from [latex]-5[/latex] to the right without bound, so the domain is [latex]\left[-5,\infty \right)[/latex]. Ex 1: Determine the Domain and Range of the Graph of a Function. Finding square root using long division. The function f(x) = (x2 - 1) / (x3 - 1) is not defined at x = 1. See Figure 6. Hence the given function is not continuous at the point x = x0. Domain and range of rational functions. The graph may continue to the left and right beyond what is viewed, but based on the portion of the graph that is visible, we can determine the domain as [latex]1973\le t\le 2008[/latex] and the range as approximately [latex]180\le b\le 2010[/latex]. lim x-> x0- f(x) = f(x0) (Because we have unfilled circle), lim x-> x0+ f(x) = f(x0) (Because we have the same unfilled circle at the same place). Save. 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