Is there a type of function where every point has exactly one tangent line passing through it? If yes, what is this type of function called?

Eg a parabola y=x² Jesus, of course, spoke in parabolas. In those days it was like the Beatles at Sh...
Eg a parabola y=x² Jesus, of course, spoke in parabolas. In those days it was like the Beatles at Sh...
This question has been repeatedly answered on Quora. So I am not certain why it is being asked again...
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Well, no, not from everywhere on Earth, my friend. As many people have pointed out in the comments,...