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Modulus function sketch

  1. Oct 30, 2013 #1
    basically, i am given a function and told to sketch it. f(x)=abs(x+4) + abs(3-x)
    i didnt know how to do it, so i used this site ( http://rechneronline.de/function-graphs/ )
    it gave this graph with a really weird shape , can anyone explain it??
    i tried to google it to find the answer, but i didnt even know what to type and search
     
  2. jcsd
  3. Oct 30, 2013 #2

    LCKurtz

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    Surely, if no other way, you could just make a table of values for x from say -6 to 6. How hard can that be? Try it.
     
  4. Oct 30, 2013 #3
    i did the sketch , i need to know why it has this shape
     
  5. Oct 30, 2013 #4

    LCKurtz

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    Try writing your function as a muti-piece formula. For example, if ##x < -4## what would ##|x+4|## and ##|3-x|## be without the absolute value signs. Then try ##-4<x<3## and so on. Remember ##|x| = x,~x>0## and ##|x| = -x,~x<0##.
     
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