Invertible sort

Below are graphs of twelve functions. Some are invertible on the domain shown and some are not. Can you sort them out?

You might think about…

  • is the function one-to-one or many-to-one?
  • how could you restrict the domain to make an invertible function?
  • can you find a restricted domain that makes an invertible function with the same range as the unrestricted function?

Graph 1

Graph 2

Graph 3

Graph 4

Graph 5

Graph 6

Graph 7

Graph 8

Graph 9

Graph 10

Graph 11

Graph 12