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Sketch the graph of a function with a domain of and a range of . Then sketch a second possible function. .

Answers vary. Notice the and symbols associated with and . This means the graph gets infinitely close to and , but does not touch! As for , the graph will touch that line, and then stop.

Be creative. Remember: the function does not have to be continuous.

Use the eTool below to view the bounds and a sample function.
Click the link at right for the full version of the eTool: Calc 1-93 HW eTool