1. The problem asks to name the discontinuity at $x=2$ for the given function. 2. A discontinuity occurs where a function is not continuous. Common types include removable, jump, and infinite discontinuities. 3. The graph shows a blue curve with a discontinuity at $x=2$ and an open circle at $(2,4)$. 4. An open circle at a point means the function is not defined there or the value is different from the limit. 5. Since the function approaches a value but is not defined or differs at $x=2$, this is a removable discontinuity. 6. Removable discontinuity means the limit exists but the function value is either undefined or different. Final answer: The discontinuity at $x=2$ is a removable discontinuity.