Question

The term that describes how long it takes a function to repeat its behavior is the _____

Answer 1

Period

Explanation:

No, not the slang term Gen-Z uses nowadays. (I'm one too but that's not the point lol)

A Period is the interval between two “matching” points on the graph. In other words, it's the distance along the x-axis that the function has to travel before it starts to repeat its pattern. The basic sine and cosine functions have a period of 2π, while tangent has a period of π.

Answer 2

The term is called period, i.e. after every period, the function starts over again