document.write( "Question 1041912: For \"f%28x%29+=+2%2F%28x-3%29\" , solve for the domain and range in interval notation\r
\n" ); document.write( "\n" ); document.write( "I found already the domain:\r
\n" ); document.write( "\n" ); document.write( "(-infinity,3) u (3,+infinity)
\n" ); document.write( "and i'm confident that it is correct.\r
\n" ); document.write( "\n" ); document.write( "What confuses me is finding the Range.
\n" ); document.write( "I'm not confident on my answer:\r
\n" ); document.write( "\n" ); document.write( "(- infinity , 0] u [0, 3) u (3, + infinity)\r
\n" ); document.write( "\n" ); document.write( "can you give me the correct range in INTERVAL NOTATION and explain it efficiently? thanks.
\n" ); document.write( "

Algebra.Com's Answer #656821 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Only one critical value for x, at x=3, where f is undefined.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The domain is the union, as you found.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "RANGE:
\n" ); document.write( "What can be f, near but less than 3? What can be f, farther to the left of 3? What happens to f as x approaches 3 from the left?
\n" ); document.write( "Now ask and handle the same question but on the other side of x at 3.
\n" ); document.write( "-
\n" ); document.write( "Also think what happens to f as x goes unbound to the left; and what happens as x goes unbound to the right.
\n" ); document.write( "-
\n" ); document.write( "You should be able to know what is the range of f, now.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"graph%28400%2C400%2C-8%2C8%2C-8%2C8%2C2%2F%28x-3%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "All real numbers EXCLUDING 0.
\n" ); document.write( "Range is (-infinity,0) AND (0, infinity).\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---
\n" ); document.write( "(Range: I believe you have it (based on your personal message - not on what is in your posting here.)
\n" ); document.write( "
\n" );