document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045202>Question 1045202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I need help with my assignment. Can you help me please?<BR>\n" );
document.write( "1.Graph the relation represented by y = x^2 + 1.<BR>\n" );
document.write( "2.Find the domain and range.<BR>\n" );
document.write( "Also could you explain how to get all the domain and range because in tutorials I could only see them getting only one. Thank you for the help!<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 #660595 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=660595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here's the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/082601.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the domain is all real values of x.\r<BR>\n" );
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document.write( "the range is all real values of y >= 1.\r<BR>\n" );
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document.write( "you can't see it on the graph because the values of x extend all the way to plus and minus infinity.\r<BR>\n" );
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document.write( "similarly, the values of y extend all the way to plus infinity.\r<BR>\n" );
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document.write( "a simple test is to take a very high value of x and a vary low value of x, such as plus or minus 1000000.\r<BR>\n" );
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document.write( "use your calculator to find the value of y when y = x^2 + 1.\r<BR>\n" );
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document.write( "for 1000000, the value of y will be 1 * 10^12 based on what the calculator can show.\r<BR>\n" );
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document.write( "for -1000000, the value of y will be 1 * 10^12 again.\r<BR>\n" );
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document.write( "you made x very very large in a negative and positive direction and the value of y became very very large in a positive direction.\r<BR>\n" );
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document.write( "all values of x are in the domain because there is no value of x that's not real.\r<BR>\n" );
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document.write( "based on the equation, y can be any value of y that's positive and greaer than or equal to 1.\r<BR>\n" );
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document.write( "when x = 0, y = 1\r<BR>\n" );
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document.write( "y is positive when x gets greater than 0 in a positive or negative direction.\r<BR>\n" );
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document.write( "here's a tutorial that might help.\r<BR>\n" );
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document.write( "if you have any more questions on this topic, or have another specific problem regarding it that you are struggling with, send me an email.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.intmath.com/functions-and-graphs/2a-domain-and-range.php\" target = \"_blank\">http://www.intmath.com/functions-and-graphs/2a-domain-and-range.php</a>\r<BR>\n" );
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document.write( "be aware that most of the time they are talking about functions, which are subsets of equation.\r<BR>\n" );
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document.write( "if there is only value of y for each and every value of x, then you have a function.\r<BR>\n" );
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document.write( "if there can be more than one value of y for any value of x, then you have a relation.\r<BR>\n" );
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document.write( "the equation you gave me is a function.\r<BR>\n" );
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document.write( "here's a graph of an equation that is a rerlation and not a function.\r<BR>\n" );
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document.write( "the equation is y^2 = x\r<BR>\n" );
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document.write( "solve for y in that equation and you will get y = plus or minus square root of (x).\r<BR>\n" );
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document.write( "the domain is all real values of x that are greater than or equal to 0.\r<BR>\n" );
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document.write( "those values of x will create real values of y.\r<BR>\n" );
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document.write( "negative values of x will not create real values of y because the square root of a negative number is not real.\r<BR>\n" );
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document.write( "here's the graph:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://theo.x10hosting.com/2016/082602.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the domain is all real value of x >= 0.\r<BR>\n" );
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document.write( "the range is all real values of y.\r<BR>\n" );
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document.write( "you can see that the graph doesn't show anything for any values of x < 0.\r<BR>\n" );
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document.write( "this is because the graph will only show the real values of y.\r<BR>\n" );
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document.write( "any value of x > 0 will result in a real value of plus or minus y.\r<BR>\n" );
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document.write( "this equaton is not a function because there are more than one possible value of y for any one distinct value of x.\r<BR>\n" );
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document.write( "for erxample, when x = 4, y = plus or minus 2. </SPAN>\n" );
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