For the following exercises, graph the transformation of f(x) = 2x. Give the horizontal asymptote, the domain, and the range. h(x) = 2x + 3

For the following exercises, graph the transformation of f(x) = 2x. Give the horizontal asymptote, the domain, and the range.

h(x) = 2x + 3

Expert Solution

Consider the graph of the function;

h(x) = 2x + 3

The horizontal asymptote of the function is determined as follows:

Check horizontal asymptote for x = ±∞;

h(∞) = 2∞ + 3

= 0 + 3

= 3

Therefore, the horizontal asymptote is h(x) = 3.

Domain of the graph is set of all real numbers, that is (-∞, ∞).

Range is set of all real numbers greater than 3.

The graph of the function y = 2x + 3 is shown below;

Nabeel answered 1 year ago

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