5-9-7

Graphing a Recursion Formula

kWEB Graph (Convergence, Divergence)

Description

y= f(x) is graphed by presuming an+1 = y, an = x for linear two-term regression an+1 = f(an) composed of an+1, an. Next, it can be determined whether the function is convergent or divergent.

Set Up

1.From the Main Menu, enter the RECUR mode.

2.Make V-Window settings.

Execution

3.Select 2-term recursion as the recursion formula type, and input the formula.

4.Specify the table range, n start and end points, initial term value, and pointer start point.

5.Display the recursion formula number table.

6.Draw the graph.

7.Press w, and the pointer appears at the start point you specified. Press w several times.

If convergence exists, lines that resemble a spider web are drawn on the display. Failure of the web lines to appear indicates either divergence or that the graph is outside the boundaries of the display screen. When this happens, change to larger V-Window values and try again.

You can use fc to select the graph.

 

 

# To change the graph line style, press

# With WEB Graph, you can specify the line type

 

 

 

 

1(SEL+S) after step 4.

for a y = f(x) graph. The line type setting is valid

 

 

 

only when “Connect” is selected for “Draw Type”

 

 

 

on the Setup screen.

 

 

 

 

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