Question

What are the domain, range, and asymptote of h(x) = 2x + 4?

domain: {x | x > 0}; range: {y | y is a real number}; asymptote: y = 0
domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = –4
domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = 0
domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = –4

Answer 1

None of the four choices is correct.

For h(x) = 2x + 4:
- Domain: {x | x is a real number} (all real x).
- Range: {y | y is a real number} (all real y), since for any real y you can solve x = (y − 4)/2.
- Asymptotes: there is no horizontal or vertical asymptote. (A nonconstant linear function is its own line everywhere, so it does not have a separate asymptote.)