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gypsi Group Title

Can anyone explain absolute values to me. The definition my teacher gave was a bit confusing |x|=x if x is greater than or equal to and |x|= -x if x is less than zero. I thought absolute value was just the distance x was from zero so it couldn't end up negative.

  • 2 years ago
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  1. Akshay_Budhkar Group Title
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    ok i will do it

    • 2 years ago
  2. Akshay_Budhkar Group Title
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    |x| is also known as absolute value of x or modulus x

    • 2 years ago
  3. Akshay_Budhkar Group Title
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    Now modulus x is a function that is always positive, that is it is always greater than zero.. \[\left| x \right| > 0\]

    • 2 years ago
  4. Akshay_Budhkar Group Title
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    so for a positive function the function doesnt change. Let us take an example.. Say x=5 so |5| = 5

    • 2 years ago
  5. Akshay_Budhkar Group Title
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    Now for a negative function, the function just changes the sign, that is negative sign becomes positive

    • 2 years ago
  6. Akshay_Budhkar Group Title
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    For eg. we have x= -5 |-5| = 5

    • 2 years ago
  7. Akshay_Budhkar Group Title
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    Now if you see the graph of x looks like|dw:1326414074983:dw|

    • 2 years ago
  8. Akshay_Budhkar Group Title
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    for modulus x the function looks like |dw:1326414124726:dw|

    • 2 years ago
  9. Akshay_Budhkar Group Title
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    As it is always positive

    • 2 years ago
  10. Akshay_Budhkar Group Title
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    Does this help?

    • 2 years ago
  11. cazil Group Title
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    I would like to add that the statement |x| = -x when x < 0 means that for example: Lets say x = -2 so it's less than zero. |-2| = -(-2) Absolute value of -2 is the opposite of -2 which is 2

    • 2 years ago
  12. Akshay_Budhkar Group Title
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    We have given the user a complete research on modulus... Hope it helps :)

    • 2 years ago
  13. cazil Group Title
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    I enjoyed your explanation =) I've seen the confusion with the |x| = -x before (Which should be read as absolute value of x is the opposite of x)

    • 2 years ago
  14. cazil Group Title
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    When x is less than zero

    • 2 years ago
  15. gypsi Group Title
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    negatives always make my brain go twisty...but thank you it did help clear up some confusion.

    • 2 years ago
  16. Akshay_Budhkar Group Title
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    Yea many people find it confusing, the best way to tackle it is an example :D This method always works :)

    • 2 years ago
  17. Akshay_Budhkar Group Title
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    If you need you can clear ALL your confusion

    • 2 years ago
  18. Akshay_Budhkar Group Title
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    Just tell what is that is confusing you?

    • 2 years ago
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