# How do you find the first three iterates for the function f(x)=3x-4 given the initial value x_0=3?

May 7, 2018

$3 , 5 , 11 , 29$

#### Explanation:

Iterating this function simply means:

• Take the input
• Triple it
• Subtract four.

We start with $x = 3$, so:

• Take the input $\to 3$
• Triple it $\to 9$
• Subtract four. $\to 5$

Second iteration: start with $x = 5$

• Take the input $\to 5$
• Triple it $\to 15$
• Subtract four. $\to 11$

Third iteration: start with $x = 11$

• Take the input $\to 11$
• Triple it $\to 33$
• Subtract four. $\to 29$