1. **State the problem:** We analyze the graph of a rational function to find its domain, range, intercepts, and asymptotes. 2. **Domain:** The domain is all real numbers except where the function is undefined. The graph shows a vertical asymptote at $x=1$, so the function is undefined there. Domain: $$(-\infty, 1) \cup (1, \infty)$$ 3. **Range:** The graph extends infinitely in the vertical direction without horizontal asymptotes limiting it, so the range is all real numbers. Range: $$(-\infty, \infty)$$ 4. **x-intercepts:** The graph crosses the x-axis near $x=\frac{1}{2}$. x-intercept: $$x=\frac{1}{2}$$ 5. **y-intercepts:** The graph crosses the y-axis near $y=2$. y-intercept: $$y=2$$ 6. **Horizontal asymptotes:** The problem states there are none. Horizontal asymptotes: None 7. **Vertical asymptotes:** The graph has a vertical asymptote at $x=1$. Vertical asymptote: $$x=1$$ 8. **Oblique (slant) asymptotes:** The graph has a slant asymptote with equation $$y=-2x+1$$. Oblique asymptote: $$y=-2x+1$$