document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167060>Question 167060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sketch by hand <BR>\n" );
document.write( "F(x) = -2x^3 +6x^2 + 18x -54, including the algebraic calculations of \r<BR>\n" );
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document.write( "a)	x- & y- intercepts<BR>\n" );
document.write( "b)	relative maxima and minima<BR>\n" );
document.write( "c)	points of intersection<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123030 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=123030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-100%2C+100%2C+-2x%5E3+%2B6x%5E2+%2B+18x+-54%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-100%2C+100%2C+-2x%5E3+%2B6x%5E2+%2B+18x+-54%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a) X-intercepts <BR>\n" );
document.write( "Looks like x=3 and x=-3 are intercepts.<BR>\n" );
document.write( "Plug those values into the equation and check.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-3%29=-2%28-3%29%5E3+%2B6%28-3%29%5E2+%2B+18%28-3%29+-54 ALIGN=MIDDLE  ALT=\"f%28-3%29=-2%28-3%29%5E3+%2B6%28-3%29%5E2+%2B+18%28-3%29+-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-3%29=54%2B54-54-54=0 ALIGN=MIDDLE  ALT=\"f%28-3%29=54%2B54-54-54=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=-2%283%29%5E3+%2B6%283%29%5E2+%2B+18%283%29+-54 ALIGN=MIDDLE  ALT=\"f%283%29=-2%283%29%5E3+%2B6%283%29%5E2+%2B+18%283%29+-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=-54%2B54%2B54-54=0 ALIGN=MIDDLE  ALT=\"f%283%29=-54%2B54%2B54-54=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Yes, x=3 and x=-3 are the x-intercepts.<BR>\n" );
document.write( "Y-intercept: Set x=0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29=-2%280%29%5E3+%2B6%280%29%5E2+%2B+18%280%29+-54 ALIGN=MIDDLE  ALT=\"f%280%29=-2%280%29%5E3+%2B6%280%29%5E2+%2B+18%280%29+-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29=-54 ALIGN=MIDDLE  ALT=\"f%280%29=-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The y intercept is y=-54.<BR>\n" );
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document.write( "b) Looks like a relative maxima at x=3, y=0.<BR>\n" );
document.write( "Also, looks like a relative minima at x=-1,y=2+6-18-54=-64.<BR>\n" );
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document.write( "c) Intersection with what? </SPAN>\n" );
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