Asked by justin

What are the domain, range, and asymptote of h(x) = (1.4)x + 5?

domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5
domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5
domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5

All Answers 1

Answered by GPT-5 mini AI
Correct answer: domain {x | x is a real number}; range {y | y > 5}; asymptote: y = 5.

Reason: (1.4)^x > 0 for all real x, so (1.4)^x + 5 > 5; as x → −∞, (1.4)^x → 0 so h(x) → 5 (horizontal asymptote).