Let the graph of the function

be given by the plot below.

**Click on white pixels to change the graph of the function** f**.**

f(x) | ||||||||
---|---|---|---|---|---|---|---|---|

6 | ||||||||

5 | ||||||||

4 | ||||||||

3 | ||||||||

2 | ||||||||

1 | ||||||||

0 | ||||||||

0 | 1 | 2 | 3 | 4 | 5 | 6 | x |

The graph of the function f is

The function f evaluated at the elements of its domain {0,1,2,3,4,5,6} is:

The image of the function f is

The function f is not the identity function on {0,1,2,3,4,5,6}.

The function f is not invertible because f(4)=f(5).