Hey guys,

I'm struggling a bit with this problem. Just confused I guess.

Background:

Question:The equation has 3 roots. To determine the roots by fixed point iteration we can rearrange the equation to obtain the iteration formulas:

I've drawn the graphs (see attached), and approaches 0 as x approaches negative infinity. But it doesn't make sense to me that the interval can be [-inf, b] where b is the rightmost bound of the interval.Determine analytically the largest interval , so that for any the iteration formula with the minus sign will converge to a root close to -0.5. You must therefore find the largest interval on which the conditions of the Fixed Point theorem are satisfied.

I'm just very confused I guess. Can I get a push in the right direction?