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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.” Homework Help ✎

  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.