document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=724087>Question 724087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please show me how to graph each absolute value function and state its domain and range?\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=|x -2| </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #443585 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=443585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At which value for x does the sign of x-2 change?  What is the function when x is less than this value?  What is the function when x is greater than this value?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x-2=0<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "An important value of f is f(2).  This is where the function sharply changes direction.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2%3C0 ALIGN=MIDDLE  ALT=\"x-2%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C2 ALIGN=MIDDLE  ALT=\"x%3C2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2%3E=0 ALIGN=MIDDLE  ALT=\"x-2%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=2 ALIGN=MIDDLE  ALT=\"x%3E=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Is this enough for you to now graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=abs%28x-2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=abs%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > on your own or do you want further help? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );