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.

The functions and graphs are available to cut out.