document.write( "Question 1022211: I was given these sets: {(5,2), (5,6), (9,2), (9,6)}
\n" ); document.write( "{(-9,-3), (3,5), (9,9), (5,5)}
\n" ); document.write( "and told to determine whether the relation is a function. I must also \"give domain and the range of the relation.\" Any help would be very much appreciated. Thank you. \n" ); document.write( "

Algebra.Com's Answer #637942 by MathLover1(20850) $\"\"$ $\"About$

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{( $\"5\"$ , $\"2\"$ ), ( $\"5\"$ , $\"6\"$ ), ( $\"9\"$ , $\"2\"$ ), ( $\"9\"$ , $\"6\"$ )} \r
\n" ); document.write( "\n" ); document.write( "domain: all values of $\"x\"$
\n" ); document.write( " $\"5\"$ , $\"9\"$ \r
\n" ); document.write( "\n" ); document.write( "range:all values of $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2\"$ , $\"6\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "{( $\"-9\"$ , $\"-3\"$ ), ( $\"3\"$ , $\"5\"$ ), ( $\"9\"$ , $\"9\"$ ), ( $\"5\"$ , $\"5\"$ )}\r
\n" ); document.write( "\n" ); document.write( "domain: all values of $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-9\"$ , $\"3\"$ , $\"5\"$ , $\"9\"$ \r
\n" ); document.write( "\n" ); document.write( "range:all values of $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-3\"$ , $\"5\"$ , $\"9\"$ \r
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\n" ); document.write( "\n" ); document.write( "A $\"function\"$ is a set of ordered pairs in which $\"each\"$ x-element has only $\"ONE\"$ y-element associated with it.\r
\n" ); document.write( "\n" ); document.write( "Just remember:
\n" ); document.write( "A function may not have two y-values assigned to the same x-value, such as {( $\"2\"$ , $\"4\"$ ), ( $\"2\"$ , $\"6\"$ )}.\r
\n" ); document.write( "\n" ); document.write( "A function may, however, have two x-values assigned to the same y-value, such as {( $\"2\"$ , $\"4\"$ ), ( $\"3\"$ , $\"4\"$ )}.\r
\n" ); document.write( "\n" ); document.write( "as you can see here {( $\"5\"$ , $\"2\"$ ), ( $\"5\"$ , $\"6\"$ ), ( $\"9\"$ , $\"2\"$ ), ( $\"9\"$ , $\"6\"$ )} element $\"x=5\"$ has two y-element associated with it, $\"y=2\"$ and $\"y=6\"$ \r
\n" ); document.write( "\n" ); document.write( "also element $\"x=9\"$ has two y-element associated with it, $\"y=2\"$ and $\"y=6\"$ ; so, the relation is $\"not\"$ a function\r
\n" ); document.write( "\n" ); document.write( "{( $\"-9\"$ , $\"-3\"$ ), ( $\"3\"$ , $\"5\"$ ), ( $\"9\"$ , $\"9\"$ ), ( $\"5\"$ , $\"5\"$ )}\r
\n" ); document.write( "\n" ); document.write( "each $\"x\"$ is associated with one $\"y\"$ , even have two x-values assigned to the same y-value;so, the relation $\"is\"$ a function\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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