document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316831>Question 316831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the range of y = 1 - x2;  Domain = {-1, 0, 1}\r<BR>\n" );
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document.write( "y = 4x - x2;  Domain = {-1, -2, 0}\r<BR>\n" );
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document.write( "y = t2 + t - 2;  Domain = {-2, -1, 0, 1}\r<BR>\n" );
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document.write( "y = z2 - 3z;  Domain = {-1, 0, 1, 2}\r<BR>\n" );
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document.write( "&&& also how exactly do you find the domain like if the problem was y =  2/ <BR>\n" );
document.write( "x + 3 \r<BR>\n" );
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document.write( "Thank you!<BR>\n" );
document.write( "Katie'<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226888 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+1+-+x%5E2+ ALIGN=MIDDLE  ALT=\"+y+=+1+-+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Domain = {-1, 0, 1} <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-1%29=1-x%5E2=1-1=0 ALIGN=MIDDLE  ALT=\"y%28-1%29=1-x%5E2=1-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%280%29=1-0=1 ALIGN=MIDDLE  ALT=\"y%280%29=1-0=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%281%29=1-1=0 ALIGN=MIDDLE  ALT=\"y%281%29=1-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Range=(0,1)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4x+-+x%5E2 ALIGN=MIDDLE  ALT=\"y+=+4x+-+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Domain = {-1, -2, 0} <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-1%29+=+4%28-1%29+-+1=-5 ALIGN=MIDDLE  ALT=\"y%28-1%29+=+4%28-1%29+-+1=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-1%29+=+4%28-2%29+-+4=-12 ALIGN=MIDDLE  ALT=\"y%28-1%29+=+4%28-2%29+-+4=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%280%29+=+4%280%29+-+0=0 ALIGN=MIDDLE  ALT=\"y%280%29+=+4%280%29+-+0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Range=(0,-5,-12)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+t%5E2+%2B+t+-+2 ALIGN=MIDDLE  ALT=\"y+=+t%5E2+%2B+t+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Domain = {-2, -1, 0, 1} <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-2%29+=+4-2-2=0 ALIGN=MIDDLE  ALT=\"y%28-2%29+=+4-2-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-1%29+=+1-1-2=-2 ALIGN=MIDDLE  ALT=\"y%28-1%29+=+1-1-2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%280%29+=+0-0-2=-2 ALIGN=MIDDLE  ALT=\"y%280%29+=+0-0-2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Range=(0,-2)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+z%5E2+-+3z ALIGN=MIDDLE  ALT=\"y+=+z%5E2+-+3z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Domain = {-1, 0, 1, 2}<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-1%29+=+1+-+3%28-1%29=1%2B3=4 ALIGN=MIDDLE  ALT=\"y%28-1%29+=+1+-+3%28-1%29=1%2B3=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%280%29+=+0+-+0+=+0 ALIGN=MIDDLE  ALT=\"y%280%29+=+0+-+0+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%281%29+=+1+-+3+=+-2 ALIGN=MIDDLE  ALT=\"y%281%29+=+1+-+3+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%282%29+=+4+-+6=+-2 ALIGN=MIDDLE  ALT=\"y%282%29+=+4+-+6=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Range=(4,0,-2)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2%2F+%28x+%2B+3%29 ALIGN=MIDDLE  ALT=\"y+=+2%2F+%28x+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The domain is all x for which the function makes sense. <BR>\n" );
document.write( "For this function, all x are allowed except for the x which makes the denominator equal to zero because division by zero is undefined.<BR>\n" );
document.write( "Find the value when the denominator equals zero.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3=0 ALIGN=MIDDLE  ALT=\"x%2B3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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;\" ><BR>\n" );
document.write( "So then the domain is, in interval notation,<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)U(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <BR>\n" );
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