document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135958>Question 135958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My question comes from the pre-calculus CLEP study guide from collegeboard.com.  It is an Algebra problem and a graph, but I am unable to paste the graph into this box.  <p><BR>\n" );
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document.write( "Here is the question and a verbal explanation of the graph.  I can send it to an email address if that is a possibility.<BR>\n" );
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document.write( "The figure above shows the complete graphs of the functions f and g.  Based on the graphs, the equation f(x) - g(x) = 0 has how many roots?<BR>\n" );
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document.write( "The graph is on a cartesian plane.  The y=f(x) graph is a slope with a y-intercept of about 2 and an x intercept of about -4, and is upward sloping to the right.  The y=g(x) is a curvy graph.  Please excuse my description, I am unaware of the actual graphing equation used for it so bare with me.  It begins down at -4,-4 curves upward and hits a mzxima at around 1,3 curves back down to a minima of 3,-2 curves back upward to a maxima of about 5,1, and then makes a final curve down to a stopping point at about 7,-3.  <BR>\n" );
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document.write( "My question is: what is the process for finding these roots when there are no numbers to guide you.  What do plug in, or utilize to find the answer?  I am stuck on this one, and it is the first question on the study guide.  There was a similar question on the College Algebra CLEP study guide.  Thank you for all of your help.  If you need me to email you the graph, please send me a link of where I can send it.  <BR>\n" );
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document.write( "Thanks again.<BR>\n" );
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document.write( "Cheryl </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99619 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99619\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The specific values of the points for each of the curves is not important. <BR>\n" );
document.write( "This is more of a \"think-about-it\" question. <BR>\n" );
document.write( "What can you say about f(x) and g(x) when f(x)-g(x)=0?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29-g%28x%29=0 ALIGN=MIDDLE  ALT=\"f%28x%29-g%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=g%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=g%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Whenever the two curves intersect (when f=g), the difference function has a zero. <BR>\n" );
document.write( "Add up the number of intersections, that's the number of zeros for the difference function. <BR>\n" );
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