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# Compute the range of the function $f(x) = \sqrt{x^2}$.

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Compute the range of the function $f(x) = \sqrt{x^2}$.

Aug 3, 2022

#1
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f(x) simplifies to x, so the range is all real numbers.

In interval notation, (-inf,inf).

Aug 3, 2022
#2
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The domain is all real numbers

The range is all real numbers greater or equal to 0

Aug 3, 2022
#3
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Could there also be some complex numbers involved here?

Aug 3, 2022
edited by tuffla2022  Aug 3, 2022
#4
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Note that    sqrt (x^2)  can be defined as   l x l

The range of this  function is  [ 0, inf)

Aug 3, 2022