document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099212>Question 1099212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which statement about the function f(X)=x-3/x+2 is true?\r<BR>\n" );
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document.write( "a-its domain does not include 2 <BR>\n" );
document.write( "b-its domain does not include 3<BR>\n" );
document.write( "c-its range does not include 1<BR>\n" );
document.write( "d-its range does not include -2/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713655 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=713655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>Please note the other tutor's question about whether grouping symbols should be used.  The way you submitted the problem, the function is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+x-3%2Fx%2B2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+x-3%2Fx%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I suspect that the actual function is the one she analyzed for you:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%28x-3%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28x-3%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then, to add to what she asked at the end of her response: Is the function value ever equal to 1?<br><BR>\n" );
document.write( "To answer that question, simply try solving the equation f(x) = 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2F%28x%2B2%29+=+1 ALIGN=MIDDLE  ALT=\"%28x-3%29%2F%28x%2B2%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3+=+x%2B2 ALIGN=MIDDLE  ALT=\"x-3+=+x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   [multiplying both sides by (x+2)]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3+=+2 ALIGN=MIDDLE  ALT=\"-3+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "There is no solution to this equation; the answer is no.  The function value is never equal to 1.<br><BR>\n" );
document.write( "It does in fact get as close as you want to 1, without ever reaching 1.  So the range of the function is all values except 1.<br><BR>\n" );
document.write( "So statements a and c are true.<br><BR>\n" );
document.write( "Statement b is false; it is easy to evaluate the function at x=3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29+=+%283-3%29%2F%283%2B2%29+=+0%2F5+=+0 ALIGN=MIDDLE  ALT=\"f%283%29+=+%283-3%29%2F%283%2B2%29+=+0%2F5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Statement d is also false.  The only value not in the range of the function is 1.<BR>\n" );
document.write( "You can also verify that statement d is false by solving the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2F%28x%2B2%29+=+2%2F3 ALIGN=MIDDLE  ALT=\"%28x-3%29%2F%28x%2B2%29+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and finding that there is a solution. </SPAN>\n" );
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