document.write( "Question 899892: Decide whether the relation is a function.\r
\n" ); document.write( "\n" ); document.write( "{(1, -9), (3, 7), (4, -2), (8, -2), (11, 4)} \n" ); document.write( "

Algebra.Com's Answer #545654 by MathLover1(20850) $\"\"$ $\"About$

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A function is a special type of relation.
\n" ); document.write( " If for $\"any\"$ value that is the $\"+first\"$ in an ordered
\n" ); document.write( " pair, there is $\"only\"$ one value that is the ( $\"x\"$ ) $\"second\"$
\n" ); document.write( " value ( $\"y\"$ ) in any of the ordered pairs, then the
\n" ); document.write( " relation is a FUNCTION. Or, a function is only if for every $\"x\"$ there is only ONE $\"y+\"$ . But if $\"2\"$ different $\"x\"$ values have the same $\"y\"$ value, it's still a $\"function\"$ .\r
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\n" ); document.write( "\n" ); document.write( " you have {( $\"1\"$ , $\"-9\"$ ), ( $\"3\"$ , $\"7\"$ ), ( $\"4\"$ , $\"-2\"$ ), ( $\"8\"$ , $\"-2\"$ ), ( $\"11\"$ , $\"4\"$ )}\r
\n" ); document.write( "\n" ); document.write( "since in pairs ( $\"4\"$ , $\"-2\"$ ) and ( $\"8\"$ , $\"-2\"$ ), values $\"x=4\"$ and $\"x=8\"$ have same value $\"y=-2\"$ , it $\"IS\"$ a FUNCTION because if $\"2\"$ different $\"x\"$ values have the same $\"y\"$ value, it's still a $\"function\"$ \r
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