| Discussion: | All Topics |
| Topic: | How to disconnect a piecewise graph |
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| Subject: | RE: How to disconnect a piecewise graph |
| Author: | MGB |
| Date: | Feb 3 2007 |
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> If given a piecewise function, f(x)={x^2 for x<0; 2 for 0<=x<=2;
x-1
> for x>2. How should I format the graph calculator (TI-83/83+/84+) in
> order to obtain a disconnected graph instead of getting a connecting
> graph throughout the domain of the function?
Hello, you can trick your calculator into doing the piecewise function by doing
the following:
y1=(x^2)/(x<0)
y2=(2)/((x>=0)and(x<=2))
y3=(x-1)/(x>2)
note: You can get the inequality symbols from the 2nd TEST menu (on the MATH)
button and the "and" from the TEST and then LOGIC.
How does it work? The 83/84 thinks of a true statement as a 1 and false as 0.
When the calculator is trying to graph y1, numbers less than 0 are true so the
calculator divides by 1 and gets displayed, for numbers greater than 0 it
divides by 0 and doesn't graph values that are undefined.
Look at the TABLE to see what is going on.
Good Luck.
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