1. **Problem statement:** Find the domain and range of the exponential function graphed with a horizontal asymptote at $y = -2$. 2. **Recall the properties of exponential functions:** - The domain of any exponential function is all real numbers because you can input any $x$ value. - The range depends on the horizontal asymptote. The function approaches but never reaches the asymptote. 3. **Domain:** Since the function is defined for all $x$, the domain is: $$\text{Domain}: (-\infty, \infty)$$ 4. **Range:** The horizontal asymptote is at $y = -2$, and the graph lies above this line, increasing without bound. Thus, the range is all $y$ values greater than $-2$: $$\text{Range}: ( -2, \infty )$$ 5. **Summary:** (a) Domain: $x \in (-\infty, \infty)$ (b) Range: $y \in (-2, \infty)$