Why you should move beyond ‘undefined’ and think more in terms of infinity and negative infinity for some problems

Some other problems involved looked at shapes of graphs.

Division by zero should not longer be thought of as simply ‘undefined’. In some of these problems it indicated a vertical asymptote which can be graphed.

The values are closer related to positive and negative infinity.

Besides features like that though, you can simply plot points to get the shape of the equation. But you need to be careful to not cross the asymptotes, etc.