Asymptote:A line that a graph approaches but never touches. In the case of g(x) = 1/x, there are two asymptotes - x-axis (horizontal asymptote) and y-axis (vertical asymptote).
Domain:The set of all possible input values for a function. For g(x) = 1/x, the domain excludes x=0 since division by zero is undefined.
Range:The set of all possible output values for a function. For g(x) = 1/x, the range excludes y=0 since division by zero is undefined.