### Home > A2C > Chapter 11 > Lesson 11.1.1 > Problem11-12

11-12.

Consider the graph of $f\left(x\right) = \operatorname{sin}\left(x\right)$.

1. Describe the graph.

In general terms, what does it look like?

2. Could this graph be an example of any other function? Explain why f(x) = sin(x) cannot be a polynomial function.

How many roots does$f\left(x\right) = \operatorname{sin}\left(x\right)$ have?