PLEASE HELP <3 .. with steps :( <3

#1.)

Find the first 3 iterations of the function here: g(x)3x if you have an initial value of 2.

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#2.)

Find the first iterations of the function here: g(x)=1/3x+1 if you have an initial value of 2.

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#3.)

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

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THANK YOU <3

1) 6, 18, 54

2) 5/3, 14/9, 41/27

3) 1.5, 2.5, 2.5

Step-by-step explanation:

1)

The function that we have in this problem is

We want to find the first 3 iterations.

The initial value is:

x = 2

To find the value of the 1st iteration, we just substitute this value into the expression of the function, and we get:

The to find the value of the 2nd iteration, we just substitute this value into the expression of the function, and we get:

Finally, the 3rd iteraction is given by:

2)

Here in this problem the function that we have to use is

The initial value is

So the first iteration is given by

To find the 2nd iteration, we substitute this value into g(x) again:

Finally, to find the 3rd iteration, we substitute this value into g(x) again:

3)

The function in this problem is

The initial value is

x = 0.5

So, the first iteration is:

The second iteration is given by

Finally, the 3rd iteration is

1. point U

2 A. set B

2B.  set C

3. Nonlinear positive association

4. D is the correct answer.

5. Part 1 : The scatter plot below shows the test scores of a group of students who played games online for different amounts of time in a day:What will most likely be the effect on the test score of a student if the number of hours he/she plays games online increases?

Test score will decrease because the graph shows negative association

Test score will increase because the graph shows positive association

Test score will increase because the graph shows negative association

Test score will decrease because the graph shows positive association 

The correct answer is : Test score will decrease because the graph shows negative association. 

Fact : Playing video games is a distraction and  many kids fail there grade. Therefore test scores will decrease. 

Part 2 : Non Linear: This can be defined as if all the points on the scatter diagram tends to lie near a smooth curve, the correlation is said to be non linear. 

Answer = Diagram C

Hope I helped