document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125162>Question 1125162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The domain of the function <BR>\n" );
document.write( "f(x)=sqrt(x^2-13x+36) consists of one or more of the following intervals (-&#8734;,A],[A,B],[B,&#8734;) where A<B.<BR>\n" );
document.write( "Find A <BR>\n" );
document.write( "Find B<BR>\n" );
document.write( "for each interval  answer yes or no to shelter the interval is included in the solution.<BR>\n" );
document.write( "(-&#8734;,A]<BR>\n" );
document.write( "[A,B]<BR>\n" );
document.write( "[B,&#8734;) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741756 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=741756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-13x%2B36+=+%28x-9%29%28x-4%29 ALIGN=MIDDLE  ALT=\"x%5E2-13x%2B36+=+%28x-9%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The expression is 0 when x = 4 and when x = 9.<br><BR>\n" );
document.write( "So A and B in the problem are 4 and 9.<br><BR>\n" );
document.write( "The graph is an upward opening parabola; so it is positive on (-infinity, 4) and on (9,infinity) and negative on (4,9).<br><BR>\n" );
document.write( "Since the square root of a negative is not real, the domain of the function is where the quadratic expression is 0 or positive.<br><BR>\n" );
document.write( "(-infinity, 4]: yes, part of the domain<BR>\n" );
document.write( "(4,9): no, not part of the domain<BR>\n" );
document.write( "[9,infinity): yes, part of the domain<br><BR>\n" );
document.write( "A graph, showing that the interval (4,9) is not part of the domain:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-2%2C12%2C-4%2C12%2Csqrt%28x%5E2-13x%2B36%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-2%2C12%2C-4%2C12%2Csqrt%28x%5E2-13x%2B36%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );