You do not graph range and domain: you can determine the range and domain of a graph.
The domain is the set of all the x-values and the range is is the set of all the y-values that are used in the graph.
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Quite simply, the domain is the input and the range is the output of a function. If your using a typical X-Y axis graph, it may be useful to view the X axis as where the domain lies. The Y axis is where the range lies. Y= f(x) or Range = f(domain)
Whatever you choose. The function, itself, imposes no restrictions on the domain and therefore it is up to the person using it to define the domain. Having defined the domain, the codomain, or range, is determined for you.
Most transformations do affect one or both. Very few will not affect either.
Assuming the standard x and y axes, the range is the maximum value of y minus minimum value of y; and the domain is the maximum value of x minus minimum value of x.
The domain and range are two different sets associated with a relationship or function. There is not a domain of a range.