Iterate a function

1
EXAMPLE 5
Iterate a function
Find the first three iterates x1, x2, and x3 of
the function f (x) 3x 1 for an initial value
of x0 2.
SOLUTION
x2 f (x1)
x1 f (x0)
x3 f (x2)
f (5)
f (2)
f (16)
3(25) 1
3(16) 1
3(2) 1
5
47
16
2
for Example 5
GUIDED PRACTICE
Find the first three iterates of the function for
the initial value.
11. f (x) 4x 3, x0 2
5, 17, 65
ANSWER
12. f (x) x2 5, x0 1
4, 11, 116
ANSWER