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What is difference between abs(1/x^2) and 1/x^2 ?

  1. Jun 18, 2015 #1
    what is difference between abs(1/x^2) and 1/x^2 .
    i am using https://graphsketch.com/ graph result is same. what do you think?
     
  2. jcsd
  3. Jun 18, 2015 #2

    Mentallic

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    Well, what do you think? What does the absolute value do?
     
  4. Jun 18, 2015 #3

    symbolipoint

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    They are both equal. That is, if you allow for only real numbers.

    Think what happens for x=i.
    abs(1/(i^2)) versus 1/(i^2).
     
  5. Jun 18, 2015 #4
    i think it is same. function is not same but graph is same. that is my question is are equal?
     
  6. Jun 18, 2015 #5
    If the graphs are the same, then the functions must be the same. The graph of a function f is the set of all points (x, f(x)). The graph of a function g is the set of all points (x, g(x)). If (x, f(x)) = (x, g(x)) then it is easy to see that you must have f(x) = g(x)
     
  7. Jun 18, 2015 #6

    Mentallic

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    You can figure it out through some simple reasoning. What does the absolute value do? Give me some examples. And then, what values can't 1/x2 ever be? For example, ##x^2\geq 0## for all values of x, so x2 can't ever be negative.
     
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