document.write( "Question 1208035: Find the domain, range, and intercepts of the function\r
\n" ); document.write( "\n" ); document.write( "A(x) = 4x•sqrt{1 - x^2}. Finally, graph the function. \r
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Algebra.Com's Answer #846172 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The student said in a thank-you note to me:\r\n" );
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document.write( "\"This is probably your best reply ever.\"\r\n" );
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document.write( "So I assume s/he is a calculus student.  It seemed likely to me because\r\n" );
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document.write( "teachers do not assign Math Olympiad type problems to students.  But finding\r\n" );
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document.write( "the range makes this a very good maxima and minima problem.  Only a calculus \r\n" );
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document.write( "teacher would assign this.  It requires the factoring of a -1/2 power out of \r\n" );
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document.write( "a 1/2 power, leaving a power of 1, which is a necessary technique in \r\n" );
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document.write( "taking derivatives of expressions involving roots. That's because the\r\n" );
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document.write( "product and quotient rules for differentiation often involve exponents which \r\n" );
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document.write( "differ by one, whenever the power rule is used, which is always the case in\r\n" );
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document.write( "expressions with roots. \r\n" );
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document.write( "Edwin
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