1. **Problem Statement:** Find the $x$-intercepts of the graph of the function shown. 2. **Understanding $x$-intercepts:** The $x$-intercepts are points where the graph crosses the $x$-axis. At these points, the $y$-coordinate is zero. 3. **How to find $x$-intercepts:** To find $x$-intercepts, set $y=0$ in the function and solve for $x$. 4. **From the graph:** The points where the graph crosses the $x$-axis are at $(3,0)$ and $(5,0)$. 5. **Points $(0,5)$ and $(0,3)$ are $y$-intercepts, not $x$-intercepts, because their $x$-coordinate is zero, not $y$. **Final answer:** The $x$-intercepts are $(3,0)$ and $(5,0)$.