document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125353>Question 125353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I need some help with evaluating this function.\r<BR>\n" );
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document.write( "f(x)=abs(x)/x;\r<BR>\n" );
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document.write( "f(-2),f(-1),f(0),f(5),f(x^2),f(1/x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93575 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=93575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If x is negative, |x|=-x\r<BR>\n" );
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document.write( "If x is zero or positive, |x|=x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=abs%28x%29%2Fx ALIGN=MIDDLE  ALT=\"f%28x%29=abs%28x%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-2%29=abs%282%29%2F-2=2%2F-2=-1 ALIGN=MIDDLE  ALT=\"f%28-2%29=abs%282%29%2F-2=2%2F-2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%29=abs%28-1%29%2F-1=1%2F-2=-1 ALIGN=MIDDLE  ALT=\"f%28-1%29=abs%28-1%29%2F-1=1%2F-2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29=abs%280%29%2F0=0%2F0 ALIGN=MIDDLE  ALT=\"f%280%29=abs%280%29%2F0=0%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----this is undefined.<BR>\n" );
document.write( "Evidence?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%281000%2C1000%2C-20%2C20%2C-20%2C20%2Cabs%28x%29%2Fx%29 ALIGN=MIDDLE  ALT=\"graph%281000%2C1000%2C-20%2C20%2C-20%2C20%2Cabs%28x%29%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There is a discontinuity at x=0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%285%29=abs%285%29%2F5=5%2F5=1 ALIGN=MIDDLE  ALT=\"f%285%29=abs%285%29%2F5=5%2F5=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Please take note that if x is a real number then x^2 is <b>always</b> positive.<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%5E2%29=abs%28x%5E2%29%2Fx%5E2=x%5E2%2Fx%5E2=1 ALIGN=MIDDLE  ALT=\"f%28x%5E2%29=abs%28x%5E2%29%2Fx%5E2=x%5E2%2Fx%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "IF x is positive, 1/x is positive<BR>\n" );
document.write( "If x is zero, 1/x is undefined<BR>\n" );
document.write( "If x is negative, 1/x is negative\r<BR>\n" );
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document.write( "So,<BR>\n" );
document.write( "If x is negative,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%2Fx%29=abs%281%2Fx%29%2F%281%2Fx%29=%28-1%2Fx%29%2F%281%2Fx%29=-1 ALIGN=MIDDLE  ALT=\"f%281%2Fx%29=abs%281%2Fx%29%2F%281%2Fx%29=%28-1%2Fx%29%2F%281%2Fx%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If x is zero,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%2F0%29 ALIGN=MIDDLE  ALT=\"f%281%2F0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----you can see the result, it is undefined<BR>\n" );
document.write( "If x is positive,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%2Fx%29=abs%281%2Fx%29%2F%281%2Fx%29=%281%2Fx%29%2F%281%2Fx%29=1 ALIGN=MIDDLE  ALT=\"f%281%2Fx%29=abs%281%2Fx%29%2F%281%2Fx%29=%281%2Fx%29%2F%281%2Fx%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Please watch our video http://www.metacafe.com/watch/1101445/science_avenue/\r<BR>\n" );
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document.write( "Power up,<BR>\n" );
document.write( "HyperBrain! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );