It comes down to how y reacts to different x values. If you have a function f(x)=y that behaves differently for different values of x then the function should be evaluated in pieces. This is an outcome when the resulting graph isn't continuous or it looks different when the domain of x is in groups.
The video that bfn posted provides a really clear explanation.
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GracieGirl
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Tue 31 Jan, 2012 07:33 pm
@Butrflynet,
Thanks! That helps with some of my problems but the ones I really need help with are the ones where they give me a graph and I have to write an equation.
Thanks! I will!
Im all done with homework, Finally, lol. Tommorow we're still gonna be working on piece functions but we're gonna go over absolute value functions too.. soo, yeah I might need more help. Haha!
Thanks a lot!
also, this is the same guy that did that second video about converting a graph into a piecewise formula.
If you need more trig help, bookmark this guy's youtube channel. He's got literally hundreds of videos on all aspects of trig for beginners and advanced math folks.
If you do a search on his channel page for just the word "absolute" you'll see he's got a dozen videos just on all aspects of absolute functions.
He's also got a lot more videos on piecewise functions if you need more help with those.