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 09-13-2010 #1 (permalink) ggFTW Stalker   Join Date: Oct 2008 Posts: 1,055 iTrader: (0) Absolute value/Piecewise function f(x) = 3|x-2| - |x+1| f(x) = x+2|x+1| / x+1 Write a piecewise definition for f and sketch the graph of f. Last edited by evilxshadow; 09-13-2010 at 07:03 PM.
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 Originally Posted by evilxshadow f(x) = 3|x-2| - |x+1| f(x) = x+2|x+1| / x+1 Write a piecewise definition for f and sketch the graph of f.
Any kind of piecewise function? Could just make it so the first equation is for a domain from (-inf., -1] and the second is from (-1, inf.). Graphing would depend on however you decide to put together a piecewise function. And for that, you should just be able to plug in numbers and graph that way. No need for anything fancy when you can make it super-simple. Just be sure to note that the -1 value for the second equation has an open circle; no value exists because it is not in the domain.
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 09-13-2010 #3 (permalink) ggFTW Stalker   Join Date: Oct 2008 Location: 自分の幻想 Posts: 1,425 iTrader: (0) Class: MME Level: -2147483647 Guild: YetAnotherUC An alternate way to graph is to find the critical points (x={-1,2} for the first, and x=[-1] for the second) then mapping where point itself and points to the left and right go. After you do a bunch more of these, you won't have to do that. But it's a little easier to do this if you havn't done tons of these before. __________________ Human history is the story of complaisance. While disaster is fresh in our memory, we take precautions. But as the memory of disaster recedes, we start to take risks.

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