1. The problem asks to find all the $x$ values where the function $f$ is discontinuous based on the described piecewise graph. 2. A function is discontinuous at points where there is a jump, an open circle without a matching closed circle, or any break in the graph. 3. From the description: - There is a decreasing line ending in an open circle on the upper left quadrant, indicating a discontinuity at that $x$ value. - The two semicircle/wave curves join at closed points near the origin, so no discontinuity there. - On the upper right quadrant, the curve ends in an open circle and sharply drops downwards, indicating a discontinuity at that $x$ value. - At the bottom right quadrant, the plot flattens to a horizontal line with an open circle at the start, indicating a discontinuity at that $x$ value. - On the bottom left quadrant, the plot sharply curves downward and stops at a closed dot, so no discontinuity there. 4. The exact $x$ values are the points where open circles appear without a closed circle at the same $x$. 5. Based on the grid markings and description, these discontinuities occur at approximately $x = -4$, $x = 2$, and $x = 4$. **Final answer:** The function $f$ is discontinuous at $x = -4$, $x = 2$, and $x = 4$.