Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. find the first 3 iterates of the function $f(x)=x - 4$ when $x_0=-11…

Question

  1. find the first 3 iterates of the function $f(x)=x - 4$ when $x_0=-11$.

-15, -19, -23
-4, -8, -12
-7, -3, 1
-11, -15, -19

Explanation:

Step1: Calculate first iterate

$x_1 = f(x_0) = -11 - 4 = -15$

Step2: Calculate second iterate

$x_2 = f(x_1) = -15 - 4 = -19$

Step3: Calculate third iterate

$x_3 = f(x_2) = -19 - 4 = -23$

Answer:

-15, -19, -23