document.write( "Question 1041912: For , solve for the domain and range in interval notation\r
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document.write( "I found already the domain:\r
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document.write( "(-infinity,3) u (3,+infinity)
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document.write( "and i'm confident that it is correct.\r
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document.write( "What confuses me is finding the Range.
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document.write( "I'm not confident on my answer:\r
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document.write( "(- infinity , 0] u [0, 3) u (3, + infinity)\r
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document.write( "can you give me the correct range in INTERVAL NOTATION and explain it efficiently? thanks. \n" );
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Algebra.Com's Answer #656821 by josgarithmetic(39617)![]() ![]() ![]() 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( " \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( " |