Find the first four iterates of the function f(x) = 3x - 7 with an initial value of x0 = 4.
a.
-5, -8, -17, -44
c.
5, 8, 17, 44
b.
-7, -11, -15, -49
d.
7, 11, 15, 49

The answer is:

c. 5, 8, 17, 44

To find the iterates we need to take an initial input (x value) into the fuction, giving as result an output(iterate), then, the next input will be the previous output (iterate).

So,

Being w,x and y real numbers, the iterates are x, y, and z.

We are given the function,

Where, the initial input (x0) is 4

Now

- Iterating, starting with "x" equal to 4, we have:

So, the first iterate is 5.

- Iterating with "x" equal to 5, we have:

So, the second iterate is 8.

- Iterating with "x" equal to 8, we have:

So, the third iterate is 17.

- Iterating with "x" equal to 17, we have:

So, the fourth iterate is 44.

Hence, the iterates of the function with an initial value of x(0)=4 , are:

5, 8, 17, 44

Therefore, the correct option is c. 5, 8, 17, 44

Have a nice day!

it is part of the rising action that reveals public sentiment toward hester.

explanation:

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere