document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168446>Question 1168446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the rational function p=512500V²-449000v+19307/125v²(1000V-43). Thisos based on the vander Waals equation for predicting the present p of gas as a function of V at a fixed temperature. The function above models the pressure p of carbon dioxide in terms of volume V if the temperature is 500 kelvins.<BR>\n" );
document.write( "Process Questions<BR>\n" );
document.write( "1. What are the vertical asymptote(s) of function?<BR>\n" );
document.write( "2. What is the horizontal asymptote(s) of the function?<BR>\n" );
document.write( "3. What are the p- intercept(s) of the function?<BR>\n" );
document.write( "4. What is the V- intercept of the function? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793105 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=793105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "In any rational function, you have a vertical asymptote wherever the value of the independent variable makes the denominator function equal to zero unless the factor creating the zero in the denominator creates a zero in the numerator as well.\r<BR>\n" );
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document.write( "In a rational function where the degree of the numerator polynomial is less than the degree of the denominator polynomial, the function is asymptotic to the horizontal axis.  In a rational function where the degree of the numerator polynomial is equal to the degree of the denominator polynomial, the function is asymptotic to a constant function equal to the quotient of the lead coefficient of the numerator polynomial divided by the lead coefficient of the denominator polynomial. In a rational function where the degree of the numerator polynomial is greater than the degree of the denominator polynomial, there is no horizontal asymptote.  There is a slant or oblique asymptote that is a function equal to the polynomial long division quotient of the numerator divided by the denominator excluding any remainder.\r<BR>\n" );
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document.write( "The vertical axis intercept is at the value of the function when zero is substituted for the independent variable.\r<BR>\n" );
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document.write( "The horizontal axis intercepts are at the zeros of the numerator polynomial.\r<BR>\n" );
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document.write( "Your function is improperly stated.  V is NOT the same thing as v.  Those are two different variables, and I don't believe the Van der Waals equation deals with two different volumes.  Yes, I figured out what you meant, but it was rather rude of you to expect me to do that work for you.  Proofread your posts BEFORE you send.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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