document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=954419>Question 954419</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The graph of y = (x^4 + 4x^3 - x)^(1/4) contains which point?\r<BR>\n" );
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document.write( "A.(4,2) <BR>\n" );
document.write( "B.(-2,0) <BR>\n" );
document.write( "C.(-4,SQRT(2))<BR>\n" );
document.write( "D.(2, 2(1/4) )  <BR>\n" );
document.write( "E.(2,0) <BR>\n" );
document.write( "F.(3,4) \r<BR>\n" );
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document.write( "Please explain, I do not get this at all. Thanks in advance!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582891 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Below is the graph of y = (x^4 + 4x^3 - x)^(1/4) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+0%2C+20%2C+%28x%5E4+%2B+4x%5E3+-+x%29%5E%281%2F4%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+10%2C+0%2C+20%2C+%28x%5E4+%2B+4x%5E3+-+x%29%5E%281%2F4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "note that x axis is -10 to 10<BR>\n" );
document.write( "from the graph we can eliminate answers A, B, E<BR>\n" );
document.write( "for the others we substitute for x and y in the equation for each point<BR>\n" );
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document.write( "C. (-4,SQRT(2))<BR>\n" );
document.write( "sqrt(2) ?= (-4^4 +4*-4^3 -(-4))^(1/4) = 1.414213562<BR>\n" );
document.write( "answer C. satisfies the equation<BR>\n" );
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document.write( "D. (2, 2(1/4) ) <BR>\n" );
document.write( "2(1/4) ?= (2^4 +4*2^3 -(2))^(1/4) = 2.604290687<BR>\n" );
document.write( "eliminate answer D since 2(1/4) = 2.25<BR>\n" );
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document.write( "F, (3,4)<BR>\n" );
document.write( "4 ?= (3^4 +4*3^3 -(3))^(1/4) = 3.692990888<BR>\n" );
document.write( "eliminate F since 4 does not equal 3.692990888<BR>\n" );
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document.write( "Answer is C.\r<BR>\n" );
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