Find the domain and range of the relation \(y = \frac{1}{x}\)
Answer
The range of a relation is the set of all possible outputs (y-values). In this case, since we cannot get zero in the output (there is no real number that we can divide 1 by to get zero), the range of the relation is all real numbers except zero. So, the range is \(y \neq 0\).
Step 1 ：The domain of a relation is the set of all possible inputs (x-values). In this case, since we cannot divide by zero, the domain of the relation is all real numbers except zero. So, the domain is \(x \neq 0\).
Step 2 ：The range of a relation is the set of all possible outputs (y-values). In this case, since we cannot get zero in the output (there is no real number that we can divide 1 by to get zero), the range of the relation is all real numbers except zero. So, the range is \(y \neq 0\).
