How do you find the first three iterate of the function f(x)=3x^2−4 for the given initial value x_0=1?

Pranav Ward

Pranav Ward

Answered question

2022-09-14

How do you find the first three iterate of the function f ( x ) = 3 x 2 - 4 for the given initial value x 0 = 1 ?

Answer & Explanation

coccusk7

coccusk7

Beginner2022-09-15Added 14 answers

Applying the function, we find:
x 1 = f ( x 0 ) = 3 x 0 2 - 4 = 3 ( 1 ) 2 - 4 = 3 - 4 = - 1
x 2 = f ( x 1 ) = 3 x 1 2 - 4 = 3 ( - 1 ) 2 - 4 = 3 - 4 = - 1
x 3 = f ( x 2 ) = 3 x 2 2 - 4 = 3 ( - 1 ) 2 - 4 = 3 - 4 = - 1
In fact, for any n 1 we have x n = - 1 , since:
f ( - 1 ) = 3 ( - 1 ) 2 - 4 = - 1
is a fixed point.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?