Determine if the correspondence is a function.
Domain a set of numbers
Correspondence

Is this correspondence a function?
Yes
No

Yes, this correspondence is a function! In this case, each number in the domain is being mapped to the square of that number. Since squaring a number will always produce one unique output for each unique input, there’s no overlap or multiple outputs for the same input—defining it perfectly as a function.

Now let’s think about the range! When you square numbers, the outputs will always be non-negative. So, whether you square a positive number, zero, or a negative number, the result will always be 0 or greater. This leads to a range of all non-negative numbers. So, in this case, the function isn’t just valid; it’s also pretty interesting!