Question

What are the domain, range, and asymptote of h(x) = 6x – 4?

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

Answer 1

None of the given choices is correct.

For h(x) = 6x − 4:
- Domain: all real numbers, (−∞, ∞).
- Range: all real numbers, (−∞, ∞).
- Asymptote: none (a non-constant linear function has no horizontal or vertical asymptote).

(If you meant a rational function like 6/(x−4), tell me and I’ll find the domain, range, and asymptotes for that.)