document.write( "Question 1202942: State the domain and range of:
\n" ); document.write( "i/ y = xsin^-1(x^2)
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Algebra.Com's Answer #838157 by ikleyn(52848) $\"\"$ $\"About$

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\n" ); document.write( "State the domain and range of:
\n" ); document.write( "i/ y = xsin^-1(x^2)
\n" ); document.write( "ii/ y = tan^-1(sqrt(1-x^2))
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document.write( "i)  State the domain and range of y = xsin^-1(x^2).\r\n" );
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document.write( "    In this problem, there are two possible partial functions/branches.\r\n" );
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document.write( "    1st possible partial function/branch:  the domain is  [0,1];  the range is [0,].\r\n" );
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document.write( "    2nd possible partial function/branch:  the domain is [-1,0];  the range is [,0].\r\n" );
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document.write( "    Both these partial functions/branches finally merge into ONE function/answer\r\n" );
document.write( "    with the domain  [-1,1]  and  the range  [,].\r\n" );
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document.write( "    To see the plot of the final function, go to web-site www.desmos.com/calculator\r\n" );
document.write( "    and use free of charge plotting tool there.\r\n" );
document.write( "    Print the function expression x*arcsin(x^2) and get the plot.\r\n" );
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document.write( "2)  State the domain and range of y = tan^-1(sqrt(1-x^2)).\r\n" );
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document.write( "\r\n" );
document.write( "    In this problem, there are two possible partial functions/branches.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    1st possible function/branch:  the domain is  [0,1];  the range is [0,].\r\n" );
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document.write( "    2nd possible function/branch:  the domain is [-1,0];  the range is [0,].\r\n" );
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document.write( "\r\n" );
document.write( "    Both these partial functions/branches finally merge into ONE function/answer \r\n" );
document.write( "    with the domain  [-1,1]  and  the range  [0,].\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    To see the plot of the final function, go to web-site www.desmos.com/calculator\r\n" );
document.write( "    and use free of charge plotting tool there.\r\n" );
document.write( "    Print the function expression arctan(sqrt(1-x^2)) there and get the plot.\r\n" );
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