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1-15.

Rhianna says she can draw different functions that have the same -intercepts and the same domain and range. Her teammates say, “No, that’s impossible!” But Rhianna insists, “It is possible, we just need to sketch the graphs.”

  1. What if the -intercepts are , , and , the domain is , and the range is ? Is there more than one possible function? Give examples to help explain why or why not.

  2. What if the -intercepts are and , the domain is all real numbers, and the range is ? Is there more than one possible function? Give examples of multiple functions or explain why there can be only one.

You can create a graph with multiple turns and dips.