Graphical Iteration 4
From the point
(x
1
, x
1
)
, draw the vertical line until it intersects the graph of
x
n+1
= f(x
n
)
.
The x-coordinate of the point of intersection is x
1
, so the y-coordinate is
f(x
1
) = x
2
.
This process, vertically to the graph
x
n+1
= f(x
n
)
, then horizontally to the diagonal line
x
n+1
= x
n
, is called
graphical iteration
.
Click
Here
for an animation of the first steps iterating the tent map.
Return to
Graphical Iteration
