1. **State the problem:** We are given a graph of a vertical line at $x=3$ and asked to determine which statements about this graph are true. 2. **Recall the definition of a function:** A function assigns exactly one output $y$ for each input $x$. 3. **Analyze the graph:** The line is vertical at $x=3$, meaning for $x=3$, there are multiple $y$ values. 4. **Check each statement:** - A. The equation of this line is $x=3$. This is true because the line is vertical at $x=3$. - B. This graph is not a function because the value $x=3$ is assigned to more than one $y$ value. This is true because vertical lines fail the vertical line test. - C. This graph is a function because the value of $x$ is the same for every value of $y$. This is false; a function must assign one $y$ per $x$, not the other way around. - D. This graph is a function whose domain is the set $\{3\}$. This is false; the graph is not a function. - E. This graph is a function whose range is the set $\{3\}$. This is false; the graph is not a function and the range is all real numbers. **Final answers:** A and B are true; C, D, and E are false.