Question

Find the first four iterates of the function f(x) = x2 with an initial value of x0 = -1.

Answer 1

Option A: 1,1,1,1 is the right answer

Step-by-step explanation:

In finding the function iterates we start with the initial value and put the initial value into the function and then the output of previous iterate is used as input for next iterate

Given

$f(x) = x^2\\and\\x_0 = -1$

First iterate:

Putting x=-1 in the function

$f(-1) = (-1)^2\\=1$

Second iterate:

Putting x=1

$f(1) = (1)^2\\=1$

Third iterate:

Putting x=1

$f(1) = (1)^2\\=1$

Fourth iterate:

Putting x=1

$f(1) = (1)^2\\=1$

First four iterates of given function with initial value -1 are: 1,1,1,1

Hence,

Option A: 1,1,1,1 is the right answer

Keywords: Functions, iterates

Learn more about function iteration at:

• brainly.com/question/4770453
• brainly.com/question/4771355

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