document.write( "Question 963431: I could not find a subject
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document.write( "Relations and Functions \r
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document.write( "My equation is to graph this relation \r
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document.write( "x=-3 and I need to show all the work to get to the points of the graph I do not know where to start on this one. I need the domain and range in interval notation and if it is a function or not with the reason. \r
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document.write( "Thank you in advance for any assistance \n" );
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Algebra.Com's Answer #588580 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x = -3 is a vertical line at x = -3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The domain is x = -3 because x can't be at any point on the x-axis other than -3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the range is infinity because y can take on any value along the y-axis.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is not a function because there are more than one value of y for a specific value of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it is therefore a relation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the graph of x = -3 looks something like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it's a vertical line at x = -3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a table of values for this graph would be something like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "x y\r\n" ); document.write( "-3 -1000\r\n" ); document.write( "-3 -500\r\n" ); document.write( "-3 0\r\n" ); document.write( "-3 500\r\n" ); document.write( "-3 1000\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in other words, x can only be -3 and y can be any value along the y-axis.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there are an infinite number of possible values of y for that one value of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x can't take on any other value.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y can take on any value.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in interval notation, your domain would be x = [-3,-3].\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that means that -3 is <= x which is <= -3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that forces x to be equal to -3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it can't be less than -3 and it can't be greater than -3 so it has to be -3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in interval notation, your range would be y = (-infinity,infinity).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that means that y can be any value.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |