Question

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

Answer 1

The domain of h(x) = 6x - 4 is all real numbers, the range is also all real numbers, and there are no asymptotes.

Step-by-step explanation:

The domain of a function is the set of all possible input values, or x-values, for the function. In this case, the function is h(x) = 6x - 4, and there are no restrictions on the x-values, so the domain is all real numbers.

The range of a function is the set of all possible output values, or y-values, for the function. Since the function is a linear function with a positive slope, the range is also all real numbers.

An asymptote is a line that the graph of a function approaches but never touches. For a linear function like h(x) = 6x - 4, there are no asymptotes.

Answer 2

The domain and range of h(x) = 6x - 4 are all real numbers, and it has no asymptotes since it is a linear function with a graph that is a straight line.

Step-by-step explanation:

The function h(x) = 6x - 4 is a linear function, and its graph is a straight line. The domain of this function refers to all the possible x-value inputs it can take. Since there are no restrictions on the x-values for a linear function like this, the domain is all real numbers, often represented as (-∞, ∞).

The range refers to all the possible y-value outputs the function can produce. Again, since there are no restrictions on the y-values for h(x), the range is also all real numbers (-∞, ∞).

As for the asymptote, asymptotes are lines that the graph of a function approaches but never touches. Linear functions like h(x) do not have asymptotes since they continually increase or decrease without approaching a specific line. Therefore, h(x) has no asymptotes.