1. **Problem Statement:** Identify all values of $x$ in the open interval $-9 < x < 9$ where the function $f(x)$ has a jump discontinuity. 2. **Definition:** A jump discontinuity occurs at a point $x=c$ if the left-hand limit $\lim_{x \to c^-} f(x)$ and the right-hand limit $\lim_{x \to c^+} f(x)$ exist but are not equal, or if the function has different values from the left and right at $x=c$ (often indicated by an open circle and a solid dot at different $y$-values). 3. **Given Information:** The graph shows open circles and solid dots at the same $x$ values but different $y$ values at $x = -5, -1, 1, 3, 5$. 4. **Analysis:** - At $x = -5$, the function jumps from $y=0$ (open circle) to $y=-2$ (solid dot). - At $x = -1$, there is an open circle at $y=-5$ and no continuous point matching it, indicating a jump. - At $x = 1$, the function jumps from $y=0$ (open circle) to $y=-5$ (solid dot). - At $x = 3$, the function jumps from $y=-6$ (open circle) to $y=-7$ (solid dot). - At $x = 5$, the function jumps from $y=-7$ (solid dot) to a lower $y$ value. 5. **Conclusion:** The function $f(x)$ has jump discontinuities at $$x = -5, -1, 1, 3, 5.$$