document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=354090>Question 354090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to find range of f(x)=x(square)-3x+2/(x+1) algebraically? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253113 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=253113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how to find range of f(x)=x(square)-3x+2/(x+1) algebraically?<BR>\n" );
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document.write( "f(x) = x^2-[(3x+2)/(x+1)]<BR>\n" );
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document.write( "Range???<BR>\n" );
document.write( "x^2 is always >=0<BR>\n" );
document.write( "--<BR>\n" );
document.write( "(3x+2)/(x+1) has a vertical asymptote at x=-1 so all Real Numbers<BR>\n" );
document.write( "are subtracted from x^2.<BR>\n" );
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document.write( "Graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-%28%283x%2B2%29%2F%28x%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-%28%283x%2B2%29%2F%28x%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Range is \"All Real Numbers\"<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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