document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012242>Question 1012242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.12\r<BR>\n" );
document.write( "\n" );
document.write( "Evaluate the function f(x)= x/|x| at the given values of the independent variable and simplify\r<BR>\n" );
document.write( "\n" );
document.write( "A. f(9) =<BR>\n" );
document.write( "B.f(-9)=<BR>\n" );
document.write( "C.f(r^2)= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628111 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = x/abs(x).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(9) = 9/9 = 1<BR>\n" );
document.write( "f(-9) = -9/8 = -1<BR>\n" );
document.write( "f(r^2) = r^2/abs(r^2) = 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "for example, if r = -9, then f(r^2) = (-9)^2 / abs((-9)^2) = 81 / abs(81) = 1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since r^2 is always positive, the solution will always be positive 1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(x) = x/abs(x), on the other hand, will carry the sign of x because x can be negative or positive while the absolute value of x is always positive.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );