Stable fixed points

[dimvssometimes]

How many stable fixed points does the following map have?


I found fixed points 1 and 0. 1 is stable, 0 is not stable. , but the answer "1 point" is false in my test. Is the test right?

 

[Steven G]

Can you please define what you think it means for a fixed point to be stable?

 

[Romsek]

I think your test is wrong. You have it correct, 1 is a stable fixed point and 0 is not.

 

[Steven G]

I made my post so that the OP could check their work to see that they were correct. Good job to the OP!