Find the first 3 interations here: g(x)=-1|x-2|+3 if you have an initial value of 0.5
1 answer:
Answer:
- The first iteration = 1.5
- The 2nd iteration = 2.5
- The third iteration = 2.5
Step-by-step explanation:
Considering the function
- As the initial value = 0.5
- In order to determine the next iterate, apply the function g(x) to the previous one.
DETERMINING FIRST ITERATION:
= -1 | 0.5 - 2 | + 3
= -1 | -1.5 | + 3
; | -1.5 | = 1.5
= 1.5
Thus, the first iteration = 1.5
DETERMINING SECOND ITERATION:
Putting the value of first iteration i.e. 1.5 into the original function to determine the 2nd iteration.
as
; | -0.5 | = 0.5
= 2.5
Thus, the 2nd iteration = 2.5
DETERMINING THIRD ITERATION:
Putting the value of second iteration i.e. 2.5 into the original function to determine the 2nd iteration.
as
= 2.5
Thus, the third iteration = 2.5
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