What is the graph of the function ?
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Discover: When does a graph represent a function? For every integer , the graph of the equation is the graph of the function, namely . Explain why the graph of is not the graph of a function of . Is the graph of the graph of a function of ? If so, of what function of is it the graph? Determine for what integer the graph of is a graph of a function of .
(a) What is a function? What are its domain and range?
(b) What is the graph of a function?
(c) How can you tell if a graph or function exists?