1. **State the problem:** We are given a rational function with a vertical asymptote at $x = -2$ and a horizontal asymptote at $y = 0$. We need to write the equations of the asymptotes, find the intercepts, and determine the domain and range. 2. **Vertical asymptote:** Vertical asymptotes occur where the denominator of the rational function is zero and the function is undefined. Given: vertical asymptote at $x = -2$. 3. **Horizontal asymptote:** Horizontal asymptotes describe the behavior of the function as $x \to \pm \infty$. Given: horizontal asymptote at $y = 0$. 4. **Intercepts:** - $x$-intercepts occur where $f(x) = 0$. - $y$-intercept occurs at $f(0)$. Given: no $x$-intercepts, $y$-intercept is 5. 5. **Domain:** The domain is all real numbers except where the function is undefined (vertical asymptotes). So domain is $$(-\infty, -2) \cup (-2, \infty)$$ 6. **Range:** The range is all $y$ values the function can take. Given the graph is always above the $x$-axis and approaches $y=0$ but never reaches it, the range is $$ (0, \infty) $$. **Final answers:** - Vertical asymptote(s): $x = -2$ - Horizontal asymptote(s): $y = 0$ - $x$-intercept(s): None - $y$-intercept(s): 5 - Domain: $$(-\infty, -2) \cup (-2, \infty)$$ - Range: $$(0, \infty)$$