Question

Find the domain and range of the relation and determine whether it is a function.

domain: x > 1; range: y > 0; Yes, it is a function.
domain: all real numbers; range: all real numbers; Yes, it is a function.
domain: positive integers; range: positive integers; No, it is not a function.
domain: x ≥ 0; range: y >1; No, it is not a function.

Answer 1

The correct answer to this question is this "domain: x > 1; range: y > 0; Yes, it is a function."

Based from the graph, it has a vertical asymptote at x = 1, so domain is x > 1 and since it has horizontal asymptote at y=0, its range is y > 0. So this concludes us to have a domain of x > 1 and a range of y > 0.