document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64294>Question 64294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help.\r<BR>\n" );
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document.write( "1.) What is the end behavior of the graph of y=-1.5x^4+3x^2-4x-4\r<BR>\n" );
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document.write( "2. Determine all x-intercepts of the rational function f(x)=x^2-2x/(x+4)^2\r<BR>\n" );
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document.write( "3. Find the x-coordinates of the points of intersection between two functions x^2+y^2=113 and x+y=-15\r<BR>\n" );
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document.write( "4. Give the equation of a line that passes through the point (7,4) and is perpendicular to the line whose equation is given by 4x+5y=8\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 #45003 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=45003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.) What is the end behavior of the graph of y=-1.5x^4+3x^2-4x-4 <BR>\n" );
document.write( "\"End behavior\" asks what happens to y as x gets arbitrarily large<BR>\n" );
document.write( "is a positive and in a negative direction.  The highest power term<BR>\n" );
document.write( "determines what happens.<BR>\n" );
document.write( "As x gets very positively large -1.5x^4 gets very negative so the <BR>\n" );
document.write( "end behavior is: as x goes to infinity, y goes to negative infinity.<BR>\n" );
document.write( "As x gets very negatively large -1.5x^4 gets very negative so the<BR>\n" );
document.write( "end behavior is : as x goes to negative infinity, y goes to negative <BR>\n" );
document.write( "infinity.<BR>\n" );
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document.write( "2. Determine all x-intercepts of the rational function f(x)=x^2-2x/(x+4)^2<BR>\n" );
document.write( "Let y= 0 and solve for x:<BR>\n" );
document.write( "0=[(x^2-2x)/x+4)^2]<BR>\n" );
document.write( "This fraction will be 0 when the numerator is 0.<BR>\n" );
document.write( "x^2-2x=0<BR>\n" );
document.write( "x(x-2)=0<BR>\n" );
document.write( "x=0 or x=2  (they are the x-intercepts)<BR>\n" );
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document.write( "3. Find the x-coordinates of the points of intersection between two functions x^2+y^2=113 and x+y=-15 <BR>\n" );
document.write( "If x+y=-15 y=-x-15<BR>\n" );
document.write( "The line touches the circle at (-7,-8)<BR>\n" );
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document.write( "4. Give the equation of a line that passes through the point (7,4) and is perpendicular to the line whose equation is given by 4x+5y=8 <BR>\n" );
document.write( "The give line has a slope of (-4/5).<BR>\n" );
document.write( "The line perpendicular to it will have a slope of 5/4.<BR>\n" );
document.write( "The form of the line is y=mx+b; you have x=7, y=4, m=5/4; you need \"b\":<BR>\n" );
document.write( "4=(5/4)7+b<BR>\n" );
document.write( "4=35/4 + b<BR>\n" );
document.write( "b=16/4 - 35/4<BR>\n" );
document.write( "b=-19/4<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "y=(5/4)x-(19/4)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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