• Graph the function you wish to investigate.
y = x²

• Create a TABLE for the function.

Press #7 Table, #1 Split-screen Table
Hit

Shortcut: -T

We will be using the TABLE to examine extremely large and/or extremely small y-values from this graph.

From examination of the graph, we can see that the graph "appears" to be getting larger as x → ∞, and also larger as x → -∞.

• Let's show that these "appearances" are actually true by examining the table. 

After you have created a split-screen Table, you can force the Table to be placed in single full screen mode by pressing and then the key "6".

Full screen: - 6

• To control the TABLE setup within the table:

press #2 Table, #5 Edit Table Settings.
Hit .

Change the "Independent:" to ASK.
(so we can quickly move to larger values)

• Choose very large values in both the positive and negative directions.

The end behavior seen on the graph is supported!

Check as x → ∞

Check as x → -∞.