document.write( "Question 36489: graph the function and state the domain and range.\r
\n" ); document.write( "\n" ); document.write( "28. y=sqrt x-2 \n" ); document.write( "

Algebra.Com's Answer #22440 by cininnatus(12) $\"\"$ $\"About$

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I see a lot of questions like this here. There must be some sort of misunderstanding of the definition of a function floating around schools.
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\n" ); document.write( "First, the domain and range of a function are defining properties of that function. So when you write down a formula you, strictly speaking have not told me the function you are talking about until you specify a domain.
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\n" ); document.write( "So this sort of question is badly worded. What you mean to ask is: \"For what real number arguments is this function undefined?\"
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\n" ); document.write( "In which case the answer is that your function is not defined for x<2.
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\n" ); document.write( "Once you know the domain, (and only then) you can talk about the function's range. You know that the (principle) sqrt function assumes all positive values of x for arguments greater than or equal to 0, so this function of yours will have also have a range of all positive real numbers. \n" ); document.write( "

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