Question

When there is no range for a function?

Answer 1

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

Explanation:

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

`y=(2x)/0`

`y=3/(2(x-3)-(2x-6))`

etc.

Square roots where the number inside the root is always negative

`y=sqrt(-x^2)`