A typical formula for exponential decay is y(t) = c*exp(-r*t) , where r > 0.
The domain is all reals, and the range is all positive reals, since a positive-base exponential always returns a positive value.
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Domain is the independent variable in an equation. It is what you put "in" the equation to get the Range.
You need to know the domain first. For each value in the domain there will be a value for the function (or expression). These may not all be different. The set of these values is the range of the equation.
Find all possible "x" and "y" values for domain and range. Then put it in inequality form. For example the domain and range for the equation 2x-3/x-5 would be: Domain: All Reals; x>5 Range: All Reals
Any equation which maps each value of x in the domain to a value in the range is a function of x.
The domain and range are two different sets associated with a relationship or function. There is not a domain of a range.