When there is no range for a function?

1 Answer

This can occur where there is no valid domain. See below for ideas:


While I'm not sure that an equation that doesn't have a range would be considered a function, I can address situations where there is no range.

The range is derived from the domain - it is the list of values that arise from the domain. And so for an equation to have no range, it follows that there isn't a valid domain.

What then would create such a situation? There are many different situations where a domain is never valid. Here are a couple of examples:

Fraction where the denominator is always 0




Square roots where the number inside the root is always negative