document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79627>Question 79627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> really need this answer \r<BR>\n" );
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document.write( "1)Graph f(x)=(x^2 - 4)/(x - 2) using a graphing calculator. Using a standard window with the trace feature, trace the graph to x=2. What happens? \r<BR>\n" );
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document.write( "2. Why is there a \"break\" in the line at x=2? Why is the graph a line without a vertical asymptote at x=2? If x is \"close to\" 2, what is the y value \"close to\"?<BR>\n" );
document.write( "Create a function that has either a hole, a break, or an asymptote in the graph.<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 #57143 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=57143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)Graph f(x)=(x^2 - 4)/(x - 2) using a graphing calculator. Using a standard window with the trace feature, trace the graph to x=2. What happens?<BR>\n" );
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document.write( "At x=2 you get an ERROR. \r<BR>\n" );
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document.write( "2. Why is there a \"break\" in the line at x=2?<BR>\n" );
document.write( "The denominator cannot be zero; Because there is also a factor of <BR>\n" );
document.write( "(x-2) in the numerator you get a \"hole\" in the graph.<BR>\n" );
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document.write( " Why is the graph a line without a vertical asymptote at x=2?<BR>\n" );
document.write( "If you cancel the (x-2) factor that is common to numerator and denominator<BR>\n" );
document.write( "you get the function y=x+2 which graphs as a line.<BR>\n" );
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document.write( " If x is \"close to\" 2, what is the y value \"close to\"?<BR>\n" );
document.write( "y=4<BR>\n" );
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document.write( "Create a function that has either a hole, a break, or an asymptote in the graph.<BR>\n" );
document.write( "Asymptote: y=x/(x-2) will have a vertical asymptote at x=2.<BR>\n" );
document.write( "Hole:  y=[x^2-3x]/[x-3] will have a hole at x=3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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