each x-value has only 1 y-value that it maps to what?

Domain: {- infinity, infinity }
Range : { - infinity, 0 }
Would be best be { - infinity, 0 }?

1 answer

It seems like you are describing a function with a specific domain and range. Given the information:

  • Domain: \((- \infty, \infty)\)
  • Range: \((- \infty, 0)\)

This indicates that the function can take any real number as an input (x-value), and for every x-value, it maps to exactly one y-value within the range of \((- \infty, 0)\). This means that the output (y-value) for each x-value will always be negative or zero, but never positive.

If you meant to say that the output can reach but not exceed 0, then you might need to clarify the nature of your function.

To assertively conclude:

  • If you're asking if the best description of the range is \((- \infty, 0)\), then yes, it seems appropriate based on the details provided. This means that all outputs of the function will lie within that range, ensuring that every x-value maps to a unique y-value in that range without any outputs being positive.