I really need help on my last question if anyone can help me. Use the function g(X)=-X+2 with initial values of 4,2,and 1. What happens after many iterations with all three initial values? How do the results of all three iterations relate to each other?

Answer 1

what do you mean by "initial values?" Just values for x? If so, then

since g(x) = -x+2,plug in the value for every x:

g(4) = -2(4)+2 = -8+1 = -7

and do the same for any other desired values.

I still don't get what you mean by behavior after "iterations." What's going on here?

The equation describes a straight line. Other than that, I dunno what to say.

Answer 2

@Steve I think what they mean by behavior is if I see a pattern or trend with the iterations I was confused about that as well. Thank you for the example it made understanding it easier.