document.write( "Question 128577: Find the domain and range of the following:
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Algebra.Com's Answer #94076 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Looking at the graph, notice how both the x-values and y-values are restricted. In other words, we cannot plug in x=10 (as it does not fall on the curve). So we can only plug in x-values from -4 to 4. So the domain is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which in set-builder notation is\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In plain English, this reads: x is the set of all real numbers that are in between -4 and 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, in interval notation, the domain is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "[-4,4]\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This also applies to the range. The range is also \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Which in set-builder notation is\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In plain English, this reads: y is the set of all real numbers that are in between -4 and 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, in interval notation, the range is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "[-4,4] \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Summary:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the domain and range are both [-4,4] \n" ); document.write( " \n" ); document.write( " |