Using the function g(x) = −2 |2 - x|+ 4 and the initial value of 1.72, what is the loop that forms after many iterations?

My answers are 2.24, 3.52, 0.96, 1.92, 3.84, 0.32, 0.64, 1.28, 2.56, and 2.88 I'm not exactly sure if this is correct because I feel like there are too many loops so if this is wrong can someone please explain to me why these are wrong?

1 answer

Hmmm. I don't see any theoretical solution, but after 55 iterations g(x)=4, so that the next time

g(x) = 4-2|2-4| = 4-2*2 = 0
g(0) = 4-2|2-0| = 4-2*2 = 0
and it stays zero

Maybe roundoff error contributes to this result.