document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916232>Question 916232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to set up a graph for this polynomial. I don't know where to start. Is there a way that I can know what the general shape of the graph will be before I start? I really need help\r<BR>\n" );
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document.write( "f(x) = (1/64)(x-3)^2(x+4)^3 \r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555970 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=555970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How to set up a graph for this polynomial. I don't know where to start. Is there a way that I can know what the general shape of the graph will be before I start? I really need help<BR>\n" );
document.write( " f(x) = (1/64)(x-3)^2(x+4)^3 <BR>\n" );
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document.write( "If x = 0, y = (1/64)(9)(64) = 9;; So, plot (0,9)<BR>\n" );
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document.write( "Because (x-3) is squared, the graph touches but does not pass thru (3,0)<BR>\n" );
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document.write( "Because (x+4) is raised to an odd poser, the graph passes thru (-4,0)<BR>\n" );
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document.write( "Because the highest power is x^2*x^3 = x^5, the graph goes to -oo as<BR>\n" );
document.write( "x goes to -oo and the graph goes to +oo as x goes to +oo.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C15%2C%281%2F64%29%28x-3%29%5E2%2A%28x%2B4%29%5E3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C15%2C%281%2F64%29%28x-3%29%5E2%2A%28x%2B4%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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