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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: signum function
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thenerd (0)

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1.what is a signum function?
2.what are break intervals?
    
deedee (2203)

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signum just means sign functions
 
n break point or break intervals means wavy curve method wich we foll while findin range etc

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arpan1 (665)

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signum functions have breakpoints at -1, 0 and 1...

elsewhere they are continuous






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all the best ...
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dheer_07 (241)

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SIGNUM FUN = SGN
 
 
INTEVAL    :
 IF NEGATIVE   THEN ITZ VALUE IS -1
IF O  THEN    O
N IF  +VE THEN  1
 
ONLY THREE VALUES IT HOLDS
 
 
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adityaraj (72)

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ex  |x| / x
       
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dheer_07 (241)

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EXACTLY!!!!!
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danny_007 (51)

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The function signum(x) is -1 when x is negative, 0 when x is 0, and 1
when x is positive.

One practical application is that its integral is |x|. It's also very
handy for piecing together any functions with discontinuities.
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sweet08 (72)

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IxI/x
-1 ifx<0
not defined if x=0
1 if x>0
domain=real-{0}
range={1,-1}
many-one
onto
continuos on R-{0}
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varshavallig (800)

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f(x)  =   {   1    if x>0
                0    if x=0
                -1   if x<0  }
graph:
at 0 der is a dot,sorry forgot to put it
 
 
 
 
 
 
 


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