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

the graph of an exponential function is shown in the figure below.\nthe horizontal asymptote is shown as a dashed line.\nfind the domain and the range.\n\nwrite your answers as inequalities, using x or y as appropriate.\nor, you may instead click on \empty set\ or \all reals\ as the answer.\n(a) domain: \n(b) range:

the graph of an exponential function is shown in the figure below.\nthe horizontal asymptote is shown as a dashed line.\nfind the domain and the range.\n\nwrite your answers as inequalities, using x or y as appropriate.\nor, you may instead click on \empty set\ or \all reals\ as the answer.\n(a) domain: \n(b) range:

Answer

Explanation:

Step1: Identify domain from graph

The graph extends infinitely left and right, so all real numbers are allowed for $x$.

Step2: Identify range from graph

The graph lies above the horizontal asymptote $y=-4$, so $y$ is greater than $-4$.

Answer:

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