Answer to Question #140768 in Algebra for Paula d

Question

Can a domain be a subset of range?

Answer 1

Can a domain be a subset of range?

This is the same as asking if a domain can be smaller than range, and the answer is YES, it can be smaller than range (can be a subset of range).

From the definitions of range and domain, domain is the set of possible input values in a function, while range is the set of possible output values in a function.

Therefore this can be illustrated using a function containing natural logs i.e.

The function $f(x) = ln (x)$ can have the domain values range from to positive infinity i.e. $(0, ∞)$ and the range values range from $(-∞, ∞)$

This way, it can be concluded that, yes, domain can be a subset of range.