1. **State the problem:** We need to analyze the function given by $$y = \frac{3 - x}{x + 2}$$. 2. **Formula and rules:** This is a rational function where the numerator is $3 - x$ and the denominator is $x + 2$. - The function is undefined where the denominator is zero, so find $x$ such that $x + 2 = 0$. 3. **Find domain restrictions:** $$x + 2 = 0 \implies x = -2$$ So, $x = -2$ is not in the domain. 4. **Find intercepts:** - **y-intercept:** Set $x=0$: $$y = \frac{3 - 0}{0 + 2} = \frac{3}{2} = 1.5$$ - **x-intercept:** Set $y=0$ which means numerator $3 - x = 0$: $$3 - x = 0 \implies x = 3$$ 5. **Summary:** - Domain: all real numbers except $x = -2$ - x-intercept at $(3, 0)$ - y-intercept at $(0, 1.5)$ This function can be graphed as a hyperbola with a vertical asymptote at $x = -2$.