Find the first four iterates of the function f(x) = 2x with an initial value of x0 = 2. a. 4, 6, 8 ,10 c. 2, 4, 8, 16 b. 2, 4, 6, 8 d. 4, 8, 16, 32

We have to determine the  first four iterates of the function f(x) = 2x with an initial value of = 2.

Since,

So,

So, we get iterations as 2,4

Now, let  

So,

So, we get iterations as 2,4,8

Now, let  

So,

Therefore, we get iterations as 2,4,8,16.

Therefore, Option C is the correct answer.

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  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.