### Home > INT3 > Chapter 1 > Lesson 1.1.2 > Problem 1-15

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.”*

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. What if the

‑intercepts areand , 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.