How do you find the first three iterates for the function #f(x)=3x-4# given the initial value #x_0=3#?
1 Answer
May 7, 2018
Explanation:
Iterating this function simply means:
- Take the input
- Triple it
- Subtract four.
We start with
- Take the input
#-> 3# - Triple it
#-> 9# - Subtract four.
#-> 5#
Second iteration: start with
- Take the input
#-> 5# - Triple it
#-> 15# - Subtract four.
#-> 11#
Third iteration: start with
- Take the input
#-> 11# - Triple it
#-> 33# - Subtract four.
#-> 29#
