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?

Question

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?

leozap1 · Answer

attachment

jhonyy9 · Answer

these initial values are for x or for g(x) ?

leozap1 · Answer

I believe for x, but I'm not sure. That's where I'm getting confused at.

jhonyy9 · Answer

do you know what mean ,,after many iterations with all 3 initial values" ?

leozap1 · Answer

I guess it means to explain what happens after you solve the problem with all 3 values.

jhonyy9 · Answer

so than this mean that these values are for x - so i think try substitute these values in place of x and look what will get for g(x) -

jhonyy9 · Answer

x=4 --- g(4)=-4+2 --- g(4)=-2 -- yes ? so continue it please

jhonyy9 · Answer

x=2 --- g(2)=-2+2 --- g(2)=0

x=1 --- g(1)=-1+2 --- g(1)=1

yes ?

leozap1 · Answer

So the answers would be -2, 0, and 1

leozap1 · Answer

Yea

leozap1 · Answer

So what happens each time the initial value lowers, the outcome is greater?

leozap1 · Answer

But how do they relate...?

jhonyy9 · Answer

so i think you see it right - i m same opinion like you 


4 --- -2
2---- 0
1---- 1

leozap1 · Answer

How do they relate though? o_O

leozap1 · Answer

Nvm I think I got it! Thanks! I was really struggling with this problem.

jhonyy9 · Answer

was my pleasure 

bye