1. **Problem Statement:**
Given a graph with two decreasing diagonal lines separated by a vertical dashed red line at $x=1$, answer questions about domain, range, intercepts, and asymptotes.
2. **Domain:**
The vertical dashed line at $x=1$ indicates a vertical asymptote, so the function is not defined at $x=1$.
Therefore, the domain is all real numbers except $x=1$.
In interval notation, this is:
$$(-\infty,1) \cup (1,\infty)$$
3. **Range:**
The two diagonal lines extend infinitely downward and upward without horizontal bounds, so the range covers all real numbers.
Hence, the range is:
$$(-\infty,\infty)$$
4. **X-intercepts:**
From the graph, the function crosses the x-axis at $x=\frac{1}{2}$.
So, the x-intercept is:
$$x=\frac{1}{2}$$
5. **Y-intercepts:**
The graph crosses the y-axis at $y=2$.
So, the y-intercept is:
$$y=2$$
6. **Horizontal Asymptotes:**
The graph shows no horizontal asymptotes as the lines continue diagonally without leveling off.
Therefore, there are no horizontal asymptotes.
7. **Vertical Asymptotes:**
The red dashed vertical line at $x=1$ is a vertical asymptote.
So, the vertical asymptote is:
$$x=1$$
Function Properties 2A41Ea
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