document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984605>Question 984605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the domain and range of:<BR>\n" );
document.write( "f(x)=<BR>\n" );
document.write( "i)1-|x|<BR>\n" );
document.write( "ii)x^2 -1 /x-1<BR>\n" );
document.write( "iii)-|x|<BR>\n" );
document.write( "iv)|x-1|<BR>\n" );
document.write( "v)|x-2|/2-x<BR>\n" );
document.write( "vi)root of(3-2x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605480 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=605480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "1) &nbsp;f(x) = 1-|x|. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The domain is the set of all real numbers. &nbsp;&nbsp;The range is the set of all real numbers <= 1. \r<BR>\n" );
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document.write( "2) &nbsp;f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-1%2Fx-1 ALIGN=MIDDLE  ALT=\"x%5E2-1%2Fx-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. &nbsp;&nbsp;&nbsp;&nbsp;The domain is the set of all real numbers =/= 0. &nbsp;&nbsp;The range is the set of all real numbers.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+200%2C+200%2C+-4.5%2C+4.5%2C+-4.5%2C+4.5%2C%0D%0A++++++++++x%5E2+-+1%2Fx+-1%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<B>Figure</B>. Plot of the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+1%2Fx+-+1 ALIGN=MIDDLE  ALT=\"x%5E2+-+1%2Fx+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "3) &nbsp;f(x) = -|x|. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The domain is the set of all real numbers. &nbsp;&nbsp;The range is the set of all non-positive real numbers.\r<BR>\n" );
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document.write( "4) &nbsp;f(x) = |x-1|. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The domain is the set of all real numbers. &nbsp;&nbsp;The range is the set of all non-negative real numbers.\r<BR>\n" );
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document.write( "5) &nbsp;f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28abs%28x-2%29%29%2F%282-x%29 ALIGN=MIDDLE  ALT=\"%28abs%28x-2%29%29%2F%282-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. &nbsp;&nbsp;&nbsp;&nbsp;The domain is the set of all real numbers =/= 2. &nbsp;&nbsp;The range is &nbsp;{-1, 1}, &nbsp;i.e. &nbsp;the set consisting of two numbers &nbsp;-1&nbsp; and &nbsp;1&nbsp; only. \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(Actually, &nbsp;this function is equal to &nbsp;1&nbsp; at x < 2 &nbsp;and equal to &nbsp;-1&nbsp; at x > 2). \r<BR>\n" );
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document.write( "6) &nbsp;f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283-2x%29 ALIGN=MIDDLE  ALT=\"sqrt%283-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. &nbsp;&nbsp;&nbsp;&nbsp;The domain is the set of all real numbers x <= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. &nbsp;&nbsp;The range is the set of all non-negative real numbers. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+200%2C+200%2C+-4.5%2C+4.5%2C+-4.5%2C+4.5%2C%0D%0A++++++++++sqrt%283-2x%29%0D%0A%29 ALIGN=MIDDLE  ALT=\"graph%28+200%2C+200%2C+-4.5%2C+4.5%2C+-4.5%2C+4.5%2C%0D%0A++++++++++sqrt%283-2x%29%0D%0A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<B>Figure</B>. Plot of the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283-2x%29 ALIGN=MIDDLE  ALT=\"sqrt%283-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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