Final answer:
The domain of h(x) = 2x + 4 is all real numbers, (-∞, ∞). The range of h(x) is also all real numbers, (-∞, ∞). There are no asymptotes for the function h(x) = 2x + 4.
Step-by-step explanation:
The function h(x) = 2x + 4 is a linear function. The domain of a linear function is all real numbers, meaning there are no restrictions on what values x can take. Therefore, the domain of h(x) is (-∞, ∞), which represents all real numbers.
The range of a linear function is also all real numbers, since the graph of a linear function is a straight line that extends infinitely in both the positive and negative directions. Therefore, the range of h(x) is also (-∞, ∞).
Since h(x) is a linear function, it does not have any asymptotes. Asymptotes are typically associated with curves or non-linear functions.