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

Explanation:

Step1: Recall domain definition

The domain of a function is the set of all possible input - values (x - values). For an exponential function, there are no restrictions on the value of x. $x\in(-\infty,\infty)$

Step2: Recall range definition

The range of a function is the set of all possible output - values (y - values). Looking at the graph, the function approaches a horizontal asymptote (let's say at $y = k$) from above and then increases. Since the function never goes below the horizontal asymptote (assume it's at $y = 0$ in this standard - looking exponential graph), the range is all y - values greater than the value of the horizontal asymptote. $y\in(0,\infty)$

Answer:

Domain: $(-\infty,\infty)$ Range: $(0,\infty)$