document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128079>Question 1128079</A>: <I><SPAN STYLE=\"word-break: break-all;\">  f(x)={(1,4),(2,2),(8,3),(3,3),(-7,1),(8,-1)}<BR>\n" );
document.write( "I need to answer these questions about the relation above. <BR>\n" );
document.write( "a) Determine the value of f(3) <BR>\n" );
document.write( "b) Solve f(x) = 2<BR>\n" );
document.write( "c) Determine f^-1(4) <BR>\n" );
document.write( "d) Determine if f^-1 is a function. <BR>\n" );
document.write( "e) What is the domain and range?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744553 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "f(x)={(1,4),(2,2),(8,3),(3,3),(-7,1),(8,-1)}\r<BR>\n" );
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document.write( "The relation is not a function.<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8+ ALIGN=MIDDLE  ALT=\"x=8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >produces <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3+ ALIGN=MIDDLE  ALT=\"y=3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=-1 ALIGN=MIDDLE  ALT=\"+y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the relation  is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=not ALIGN=MIDDLE  ALT=\"not\"   DISABLED_style= \"max-width:90%; height:auto;\" > a function.\r<BR>\n" );
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document.write( "a) Determine the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29 ALIGN=MIDDLE  ALT=\"f%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "from given points you see that  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=3 ALIGN=MIDDLE  ALT=\"f%283%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b) Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "from given points you see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+2 ALIGN=MIDDLE  ALT=\"f%282%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c) Determine <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%284%29 ALIGN=MIDDLE  ALT=\"f%5E-1%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is a point on the graph of the function, then (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is a point on the graph of the inverse function.\r<BR>\n" );
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document.write( "so, since we have no point where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > there is no inverse  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%284%29 ALIGN=MIDDLE  ALT=\"f%5E-1%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "d) Determine if<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%5E-1 ALIGN=MIDDLE  ALT=\"+f%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a function. \r<BR>\n" );
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document.write( "if  f(x)={(1,4),(2,2),(8,3),(3,3),(-7,1),(8,-1)}, inverse will be\r<BR>\n" );
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document.write( "f^-1 (x)={(4,1),(2,2),(3,8),(3,3),(1,-7),(-1,8)}\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3+ ALIGN=MIDDLE  ALT=\"x=3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >produces <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8 ALIGN=MIDDLE  ALT=\"y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the relation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=not ALIGN=MIDDLE  ALT=\"not\"   DISABLED_style= \"max-width:90%; height:auto;\" > a function\r<BR>\n" );
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document.write( "e) What is the domain and range? \r<BR>\n" );
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document.write( "the domain and range of given relation:\r<BR>\n" );
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document.write( "domain={-7,-1,1,2,3,8}<BR>\n" );
document.write( "range={-1,1,2,3,4}\r<BR>\n" );
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document.write( "the domain and range of inverse:<BR>\n" );
document.write( "domain={-1,1,2,3,4}<BR>\n" );
document.write( "range={-7,-1,1,2,3,8}\r<BR>\n" );
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document.write( " </SPAN>\n" );
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