document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=910314>Question 910314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find vertical/horizontal and x- and y intercepts of function: <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #552400 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=552400\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> as far as i can tell, this is what's happening.\r<BR>\n" );
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document.write( "vertical asymptote will occur when x^2 + 4 = 0\r<BR>\n" );
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document.write( "solve for x^2 + 4 = 0 and you get x = plus or minus sqrt(-4) which is not a real number so there is no vertical asymptote.\r<BR>\n" );
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document.write( "since the degree of the numerator is less than the degree of the denominator, the asymptote will be at y = 0\r<BR>\n" );
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document.write( "y intercept is the value of y when x is equal to 0.\r<BR>\n" );
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document.write( "when x = 0, the value of y becomes -22/4 which is equal to -5.5\r<BR>\n" );
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document.write( "x intercept is the value of x when y is equal to 0.\r<BR>\n" );
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document.write( "set the equation equal to 0 and solve for x.\r<BR>\n" );
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document.write( "(x-22) / (x^2 + 4) = 0<BR>\n" );
document.write( "multiply both sides of this equation by (x^2+4) to get x - 22 = 0<BR>\n" );
document.write( "add 22 to both sides of this equation to get x = 22.\r<BR>\n" );
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document.write( "you should have:\r<BR>\n" );
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document.write( "no vertical asymptote.<BR>\n" );
document.write( "horizontal asymptote at y = 0<BR>\n" );
document.write( "y intercept at y = -5.5<BR>\n" );
document.write( "x intercept at x = 22\r<BR>\n" );
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document.write( "fyi - the graph of the equation can cross the horizontal asymptote, but the graph of the equation will never cross the vertical asymptote.\r<BR>\n" );
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document.write( "the graph of your equation is shown below.<BR>\n" );
document.write( "it confirms the solutions provided above.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/100701.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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