document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65967>Question 65967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me sketch this equation: X^3-X^2-16X+16<BR>\n" );
document.write( "I need to find the X and Y intercepts and the max and min points.\r<BR>\n" );
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document.write( "I figured out the y-intercept to be (0,16) and the x-intercepts to be (1,0), (4,0) and (-4,0).\r<BR>\n" );
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document.write( "I am having trouble with the max/min points. This is what I have so far.<BR>\n" );
document.write( "I took the derivitive for the max.\r<BR>\n" );
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document.write( "Y=X^3-X^2-16X+16<BR>\n" );
document.write( "Y=3X^2-2X-16<BR>\n" );
document.write( "let y=0<BR>\n" );
document.write( "0=(3x-8)(x+2)  <BR>\n" );
document.write( "x=8/3   x=-2\r<BR>\n" );
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document.write( "This is where I get stuck. If you could help me the max/min, that would be great. Thankyou! \r<BR>\n" );
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document.write( "Sincerely, <BR>\n" );
document.write( "Leanne Spence </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46717 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What you've done so far looks good!<BR>\n" );
document.write( "Now that you have the x-coordinates of the maximum and minimum points of the curve, substitute these into the original cubic equation and solve for y.<BR>\n" );
document.write( "You shoul get:<BR>\n" );
document.write( "y = 36 and y = -14.8148...<BR>\n" );
document.write( "You can see by inspection that the maximum is at (-2, 36) and the minimum is at (2.67, -14.815) <BR>\n" );
document.write( "Here's what the graph looks like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-5%2C5%2C-20%2C40%2Cx%5E3-x%5E2-16x%2B16%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-5%2C5%2C-20%2C40%2Cx%5E3-x%5E2-16x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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