document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449350>Question 449350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)Given the function y=x+2/2x^2-4<BR>\n" );
document.write( " what are the<BR>\n" );
document.write( "a)x intercept<BR>\n" );
document.write( "b)y intercept<BR>\n" );
document.write( "c)vertical asymptote(s)<BR>\n" );
document.write( "d)horizontal asymptote(s)<BR>\n" );
document.write( "e)holes<BR>\n" );
document.write( "f)graph of how it looks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309210 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=309210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)Given the function y=x+2/2x^2-4<BR>\n" );
document.write( "what are the<BR>\n" );
document.write( "a)x intercept<BR>\n" );
document.write( "b)y intercept<BR>\n" );
document.write( "c)vertical asymptote(s)<BR>\n" );
document.write( "d)horizontal asymptote(s)<BR>\n" );
document.write( "e)holes<BR>\n" );
document.write( "f)graph of how it looks<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a) x-intercept<BR>\n" );
document.write( "To find the x-intercepts, set y=0, then solve for x.<BR>\n" );
document.write( "Note that when y=0, equating the numerator=0, will satisfy the equation<BR>\n" );
document.write( "For given function,<BR>\n" );
document.write( "x+2=0<BR>\n" );
document.write( "x=-2 (x-intercept)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b) y-intercept<BR>\n" );
document.write( "To find y-intercepts, set x=0, then solve for y<BR>\n" );
document.write( "y=2/-4=-1/2 (y-intercept)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c)vertical asymptote(s)<BR>\n" );
document.write( "To find vertical asymptotes, set denominator=0, then solve for x.<BR>\n" );
document.write( "2x^-4=0<BR>\n" );
document.write( "2x^2=4<BR>\n" );
document.write( "x^2=2<BR>\n" );
document.write( "x=±&#8730;2<BR>\n" );
document.write( "Vertical asymptotes are equations of lines, that is, the two asymptotes are x=&#8730;2 and x=-&#8730;2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "d)horizontal asymptote(s)<BR>\n" );
document.write( "When the degree of the numerator is less than that of the denominator,as in given case, the horizontal asymptote is the x-axis or y=0. If the degrees of numerator and denominator are the same,not in this case, divide the coefficient of the x term in the numerator by the x term in denominator. The quotient of this division becomes the horizontal asymptote.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "e)holes: There are no holes in this rational equation.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "f)graph of how it looks\r<BR>\n" );
document.write( "\n" );
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document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );