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Find the first THREE (3) iterations of the function here:g(x)=-1 |x-2 |+3 if you have an initial value of 0.5

The first iteration will be : 1.5

The second iteration will be : 2.5

The third iteration will be : 2.5

Step-by-step explanation:

Considering the expression

To get the next iterate, apply the function g(x) to the previous one.

As the initial value = 0.5

So,

The first iteration will be:

                           ;  

Therefore, the first iteration will be : 1.5

The Second iteration will be obtained by putting 1.5 (value obtained in first iteration) in the original function.

So,

The second iteration will be:

                                            As

 ;  

Therefore, the second iteration will be : 2.5

The Third iteration will be obtained by putting 2.5 (value obtained in second iteration) in the original function.

So,

The third iteration will be:

                                                                  ∵                  

Therefore, the third iteration will be : 2.5