document.write( "Question 1011693: Hello, I have a question regarding domain and range. When given a graph, how do you find the domain and range? Also, how do you set the domain and range into an inequality? \r
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Algebra.Com's Answer #627428 by ikleyn(52810)\"\" \"About 
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\n" ); document.write( "Hello, I have a question regarding domain and range. When given a graph, how do you find the domain and range? Also, how do you set the domain and range into an inequality?
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document.write( "The domain of a function is the set of numbers (real numbers) where the function is determined.\r\n" );
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document.write( "Examples:\r\n" );
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document.write( "f(x) = c              (constant).            The domain is the entire number line.\r\n" );
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document.write( "f(x) = ax + b         (linear function).     The domain is the entire number line.\r\n" );
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document.write( "f(x) = \"ax%5E2+%2B+bx+%2B+c\"    (quadratic function)   The domain is the entire number line.\r\n" );
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document.write( "f(x) = \"sqrt%28x%29\"                                   The domain is the set of all non-negative numbers x > = 0.\r\n" );
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document.write( "f(x) = \"sqrt%28x%2B5%29\"                               The domain is the set of all real numbers x such that x+5 >= 0, i.e. x >= -5.\r\n" );
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document.write( "f(x) = \"sqrt%28ax%5E2+%2B+bx+%2B+c%29\"                       The domain is the set of all real numbers x such that ax^2 + bx + c >= \"0\".  \r\n" );
document.write( "                                                So, in order to find the domain, you need to solve this inequality.\r\n" );
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document.write( "f(x) = \"%28x%2B1%29%2F%28x-2%29\".                               The domain is the set of all real numbers except of x = 2: You can not divide by zero. It is prohibited.\r\n" );
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document.write( "There are the lessons on determining domains of functions in this site:\r\n" );
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document.write( "    - Domain of a function which involves a quadratic polynomial under the square root operator,\r\n" );
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document.write( "    - Domain of a function containing high degree polynomial under the square root operator  and \r\n" );
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document.write( "    - Domain of a function which is the square root of a rational function \r\n" );
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