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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

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation:

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068