Question

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:

Explanation:

Step1: Identify the domain

The graph extends infinitely left and right along the x-axis, so all real numbers are valid inputs.

Step2: Identify the range

The horizontal asymptote is $y=-3$, and the graph lies strictly above this line, so $y$ is greater than -3.

Answer:

(a) range: $y > -3$
(b) domain: All reals