document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157919>Question 1157919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't have a graphing calculator and I would like to know how to solve this in details please...<BR>\n" );
document.write( "Analyze the graph of the function R(x)=(7)/(x^2-36). To graph R using a graphing​ utility, determine an appropriate viewing window necessary to obtain a complete graph. Choose the correct answer below.<BR>\n" );
document.write( "A.<BR>\n" );
document.write( "​[-12​,12​,2​] by​ [0,4,1]<BR>\n" );
document.write( "B.<BR>\n" );
document.write( "​[-12​,12​,2​] by ​[-​4,4,1]<BR>\n" );
document.write( "C.<BR>\n" );
document.write( "​[0,12​,2​] by ​[-4,4,1]<BR>\n" );
document.write( "D.<BR>\n" );
document.write( "​[-12​,12​,2​] by ​[-​4,0,1] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780834 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13334)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=780834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Factor the denominator to show the function as<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28%28x%2B6%29%28x-6%29%29 ALIGN=MIDDLE  ALT=\"7%2F%28%28x%2B6%29%28x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The graph will have vertical asymptotes at x=-6 and x=6; so the window must include both of those x values.  That eliminates answer choice C.<br><BR>\n" );
document.write( "The factors of (x+6) and (x-6) each occur only once.  That means that from one side to the other of x=-6, and from one side to the other of x=6, the sign of the function will change; so the window must display both positive and negative function values.  That eliminates answer choices A and D.<br><BR>\n" );
document.write( "The only choice left is B.<br><BR>\n" );
document.write( "Here is a graph using that window:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-12%2C12%2C-4%2C4%2C7%2F%28x%5E2-36%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-12%2C12%2C-4%2C4%2C7%2F%28x%5E2-36%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );