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.
