> That's why switch hitters generally bat left when a lefty is on the mound.
It's the other way round. A right-handed pitcher's curve/breaking ball will break away from a right handed batter, and towards a left handed batter. And vice-versa.
It's much easier to see and hit a ball curving towards you than away from you. A switch hitter will always line up on the opposite side of a pitcher's hand -- i.e. the batter will bat lefty against a right-hander, and righty against a left-hander.
Also worth noting: batting left-handed puts you a step closer to first base than batting right handed. Also: it's much easier to bunt opposite side than same side. If you bat lefty, opposite side is down the third base line -- meaning it's much easier to bunt for a hit as a lefty than as a righty.
Dads take note: teach your kids to bat lefty. They'll have to go a long way in the sport before they face a left-handed curve-ball. In the meantime, there's a non-negligible number of times they'll be safe on an infield hit where they wouldn't be safe batting right-handed.