document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128232>Question 1128232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use a calculator to graph f(x). Use the graph to solve f(x) > 0. (Enter your answer using interval notation.)<BR>\n" );
document.write( "f(x) = x + 5/ (x &#8722; 2)(x &#8722; 4)\r<BR>\n" );
document.write( "\n" );
document.write( "f(x) > 0 when x is in </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744728 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=744728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If the problem tells you to use your calculator to graph the function, then we can't do it for you....<br><BR>\n" );
document.write( "By the way, make sure you enter the function correctly, with parentheses where required:  f(x) = (x+5)/((x-2)(x-4)), or<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%28x%2B5%29%2F%28%28x-2%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28x%2B5%29%2F%28%28x-2%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The graph you get should show vertical asymptotes at x=2 and x=4, because either of those values makes the denominator 0 and so the function is not defined.  And it should show you a single zero at x=-5, because that is the only value of x that makes the numerator 0.<br><BR>\n" );
document.write( "Then you can find where the function value is positive by looking at the factors in the expression:<br><BR>\n" );
document.write( "(-infinity, -5): all three factors negative, so function value negative<BR>\n" );
document.write( "(-5,2): two factors negative, so function value positive<BR>\n" );
document.write( "(2,4): one factor negative, so function value negative<BR>\n" );
document.write( "(4,infinity): no factors negative; so function value positive<br><BR>\n" );
document.write( "So the graph you get should show the function value greater than 0 for x values between -5 and 2, and for x values greater than 4. </SPAN>\n" );
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