document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972886>Question 972886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E2-2x-4%29%2F%28x%2B2%29+ ALIGN=MIDDLE  ALT=\"+%283x%5E2-2x-4%29%2F%28x%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a)  Find the equation of the slant asymptote algebraically.<BR>\n" );
document.write( "b)  Using a graphing calculator, find the range of f(x).  Explain the process you used. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595132 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=595132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E2-2x-4%29%2F%28x%2B2%29+ ALIGN=MIDDLE  ALT=\"+%283x%5E2-2x-4%29%2F%28x%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a)  Find the equation of the slant asymptote algebraically.<BR>\n" );
document.write( "b)  Using a graphing calculator, find the range of f(x).  Explain the process you used.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Perform long division:\r<BR>\n" );
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document.write( ".................3x........-8.................<BR>\n" );
document.write( "..x+2..|.....3x^2.....-2x.......-4........<BR>\n" );
document.write( "................3x^2.....6x....................<BR>\n" );
document.write( "............................-8x.......-4........<BR>\n" );
document.write( "............................-8x.......-16.....<BR>\n" );
document.write( ".........................................12....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E2-2x-4%29%2F%28x%2B2%29=%283x-8%29%2B%2812%2F%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"+%283x%5E2-2x-4%29%2F%28x%2B2%29=%283x-8%29%2B%2812%2F%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation of slant asymptote=3x-8 (Ignore remainder)<BR>\n" );
document.write( "Using a graphic calculator: <BR>\n" );
document.write( "Range: (-2, &#8734;)<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%283x%5E2-2x-4%29%2F%28x%2B2%29%2C%283x-8%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );