the graph of an exponential function is shown in the figure below. the horizontal asymptote is shown as a…

the graph of an exponential function is shown in the figure below. the horizontal asymptote is shown as a dashed line. find the range and the domain. write your answers as inequalities, using x or y as appropriate. or, you may instead click on \empty set\ or \all reals\ as the answer. (a) range: (b) domain:

the graph of an exponential function is shown in the figure below. the horizontal asymptote is shown as a dashed line. find the range and the domain. write your answers as inequalities, using x or y as appropriate. or, you may instead click on \empty set\ or \all reals\ as the answer. (a) range: (b) domain:

Answer

Explanation:

Step1: Recall domain definition

The domain of a function is the set of all possible x - values. For an exponential function, there are no restrictions on the input x.

Step2: Recall range definition

The range of a function is the set of all possible y - values. The horizontal asymptote of the given exponential function is at y = 4. The function approaches y = 4 from below as x increases and goes to negative infinity as x decreases. So the y - values are less than 4.

Answer:

(a) range: $y<4$ (b) domain: All reals