We have plotted the graphs of four of the following functions.

\[\sin x \quad \,\,\sin^{2}x \quad \,\,\sin(\sin x) \quad \,\, \sin (2x) \quad \,\, \arcsin x \quad \,\, \sin^{-1} x \quad \,\, \dfrac{1}{\sin x}\]

Which of these functions have we plotted?

Which properties of the functions and graphs may help you to decide?

How many different functions are there in the list above?

Graph A

Graph B

Graph C

Graph D

You might find it helpful to think about function machines for some of these functions, or to describe what the function is doing in words.