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 domain and the range. 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) domain: (b) range:

the graph of an exponential function is shown in the figure below. the horizontal asymptote is shown as a dashed line. find the domain and the range. 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) domain: (b) range:

Answer

Explanation:

Step 1: Determine the domain of the exponential function

Exponential functions have no restrictions on input values.

Step 2: Determine the range using the horizontal asymptote

The graph approaches the horizontal asymptote from below, so ( y ) values are less than the asymptote's ( y )-coordinate.

Answer:

(a) domain: All reals
(b) range: ( y < -2 )