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 Piecewise Functions on a TI84C or TI84CE

To enter a piecewise function in the TI-84 you need to use Boolean Notation in your equation.

Two Piece Function

Entering a 2 piece function:
Press Y= and select a slot for the equation and type
Graph in a zoom 4. Decimal Window and you will be viewing the piecewise function
If you see a connected graph like the one at the right you need to make an adjustment in how the calculator deals with asymptotes. 
This can be adjusted through 2nd FORMAT and check to see that Detech Asymptotes is turned on. 
The selected window has really graphed the function:
because the window cuts off the graph at xmin of -6.6 and at xmax of 6.6.
Three Piece Function  
Suppose you want to enter a triple piecewise function such as:
You will need to enter the following in one of your function slots:
When you enter this equation and then graph it in a standard window you will see:
A Piecewise Function with Domain Situations  
Sometimes there can be a problem graphing piecewise functions where there might be a problem with a limited domain.  In the next piecewise function the middle piece of the piecewise function is not defined outside .  So this piecewise function must be entered using a slightly different form. 
Since the square root is not defined outside of the numbers between -2 and 2, a problem will take place with the graphing if the conditions are placed outside the square root.  So notice that the conditions have been placed inside the radical. 
Graphing this equation in a zoom decimal window really bounds the graph between -6.6 and + 6.6 also.