document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56606>Question 56606</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0201529009/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain and range of\r<BR>\n" );
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document.write( "square roott x^3-8x </SPAN>\n" );
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document.write( "square roott x^3-8x<BR>\n" );
document.write( "since square root is involved <BR>\n" );
document.write( "x^3-8x>=0<BR>\n" );
document.write( "x(x^2-8)>=0<BR>\n" );
document.write( "(x+SQRT8)x(x-SQRT8)>=0...the zeros in increasing order are -SQRT8,0,SQRT8<BR>\n" );
document.write( "for the product to be positive or zero<BR>\n" );
document.write( "1.x>=SQRT8...that is [SQRT8,infinity)<BR>\n" );
document.write( "2.x>=-SQRT8 but <=0......that is (-SQRT8,0)<BR>\n" );
document.write( "hence domain is (-SQRT8,0) and [SQRT8,infinity)<BR>\n" );
document.write( "correspondingly the range is 0 to infinity since as a rule we take only the positive value of squareroot. </SPAN>\n" );
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