Problem

The key insight is understanding how image position changes as the object moves in a convex mirror. Use the mirror equation $\frac{1}{f} = \frac{1}{u} + \frac{1}{v}$ to track where the image forms: as the object distance $u$ increases from the pole toward infinity, the image distance $v$ changes predictably. Check whether the image position actually stays bounded between the pole and focus, and whether the reason correctly explains why the assertion is true or false.

The key insight is understanding how image position changes as the object moves in a convex mirror. Use the mirror equation $\frac{1}{f} = \frac{1}{u} + \frac{1}{v}$ to track where the image forms: as the object distance $u$ increases from the pole toward infinity, the image distance $v$ changes predictably. Check whether the image position actually stays bounded between the pole and focus, and whether the reason correctly explains why the assertion is true or false.