Can an equation that has a domain of all whole numbers and have a range of all real numbers be a function?
That does not answer my question
To determine whether an equation can represent a function, we need to check if each input value (domain value) corresponds to a unique output value (range value).
For an equation to have a domain of all whole numbers (integers) and a range of all real numbers, we can consider a few examples. Let's take the equation y = x/2 as an example.
If we substitute any whole number value for x, we will get a corresponding real number output for y. For instance, when x = 2, y = 1; when x = 4, y = 2; when x = -5, y = -2.5, and so on.
Thus, the equation y = x/2 satisfies the condition of having a domain of all whole numbers and a range of all real numbers. It represents a function, as each whole number input has a corresponding real number output that is unique.
In conclusion, an equation can have a domain of all whole numbers and a range of all real numbers and still be a function, as long as each input value has a unique output value.