Can you find a function that gives the following graph?

Curve with 3 components with 2 vertical and one oblique asymptote.

Here are some questions you could ask about this graph.

  • What are the main features of the graph? How can we represent these algebraically?

  • Where does the curve cross the axes? How can we represent this information algebraically?

  • What happens to the \(y\)-values when the \(x\)-values are large, either positive or negative?