An equation, f, has a domain of all whole numbers and has a range of all real numbers. Does the equation represent a function? Explain why or why not.
f is not an equation
f(x) = 0 is an equation.
It is possible for a relation to have such domain and range and not be a function. For example,
y^2 = |⌊x⌋| is such a relation.
Maybe you need to provide more context?
I think it means is a function able to have a domain of all whole numbers and also a range of all real numbers at the same time. I don't think it's talking about an equation in specific just in general.
To determine whether or not the equation represents a function, we need to understand what is meant by the terms "domain" and "range."
The domain refers to all the possible input values for a function, while the range represents all the possible output values. In this case, we are given that the domain of the equation f is all whole numbers, and the range is all real numbers.
In order for a relation to be a function, each input (domain value) can only be associated with one output (range value). In other words, for any given x-value in the domain, there must be exactly one corresponding y-value in the range.
In this case, since the domain consists of all whole numbers (which includes positive and negative numbers), and the range consists of all real numbers, there is a unique y-value for every x-value. Thus, this equation does represent a function.
To explain this further, you can think of the equation as a mapping between the whole numbers and the real numbers. For any given whole number x, the equation f will yield a real number y as the output. Since every whole number has a corresponding real number output, the equation satisfies the requirement of being a function.