document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916411>Question 916411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> understand almost 90% of how to graph this but there are a few things I don't quiet understand. <BR>\n" );
document.write( "h(x) = (2x+6)(x-3)^2(x+1)^3 <BR>\n" );
document.write( "y-int = (0,54) <BR>\n" );
document.write( "x-int = (-3,0)(3,0)(-1,0) \r<BR>\n" );
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document.write( "My question is how do I determine what the degree is? and what the leading coefficient is? <BR>\n" );
document.write( "Also, I am having confusion on what exactly a tangent is can it be thought of like a \"straight line\" or \"the flat spot of a graph on the x-axis\" \r<BR>\n" );
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document.write( "When I go to graph I understand all the parts except where there there is a flat spot for the x-intercept (-1,0) since it's an odd degree factor shouldn't it just go straight through it and up to the y-intercept? I don't understand the idea of the flattened spots when graphing. <BR>\n" );
document.write( "It would be greatly appreciated if someone could explain this. \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 #556041 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=556041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> understand almost 90% of how to graph this but there are a few things I don't quiet understand. <BR>\n" );
document.write( "h(x) = (2x+6)(x-3)^2(x+1)^3 <BR>\n" );
document.write( "y-int = (0,54) <BR>\n" );
document.write( "x-int = (-3,0)(3,0)(-1,0) \r<BR>\n" );
document.write( "\n" );
document.write( "My question is how do I determine what the degree is?<BR>\n" );
document.write( "Multiply the highest powered term in each factor:: x*x^2*x^3 = x^6<BR>\n" );
document.write( " and what the leading coefficient is?:: 2x*x^2*x^3 = 2x^6<BR>\n" );
document.write( "LC = 2<BR>\n" );
document.write( "------------------------------ <BR>\n" );
document.write( "Also, I am having confusion on what exactly a tangent is can it be thought of like a \"straight line\" or \"the flat spot of a graph on the x-axis\"<BR>\n" );
document.write( "Tangent to the x-axis means the graph comes to but does not pass thru the axis.<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( " When I go to graph I understand all the parts except where there there is a flat spot for the x-intercept (-1,0) since it's an odd degree factor shouldn't it just go straight through it and up to the y-intercept? I don't understand the idea of the flattened spots when graphing.<BR>\n" );
document.write( "The graph approaches the x axis, lingers close to it, passes thru the axis,<BR>\n" );
document.write( "lingers close, then moves away from the axis.<BR>\n" );
document.write( "------------------------------------------- <BR>\n" );
document.write( "It would be greatly appreciated if someone could explain this.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  <BR>\n" );
document.write( " </SPAN>\n" );
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