Subjects algebra

Relation Not Function 3F234A

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Relation Not Function 3F234A


1. The problem asks to complete the table so it shows a relation that is not a function. 2. A function is a relation where each input $x$ has exactly one output $y$. 3. To create a relation that is not a function, at least one $x$ value must correspond to more than one $y$ value. 4. The given table is: | x | y | |----|----| | 25 | 10 | | 40 | 15 | | | 5 | | 30 | 20 | 5. The empty $x$ value with $y=5$ can be filled with an $x$ value already in the table to violate the function rule. 6. For example, set $x=25$ for the empty spot, so $x=25$ corresponds to both $y=10$ and $y=5$. 7. The completed table is: | x | y | |----|----| | 25 | 10 | | 40 | 15 | | 25 | 5 | | 30 | 20 | 8. This relation is not a function because $x=25$ has two different $y$ values. Final answer: $$\text{Completed table: }\{(25,10), (40,15), (25,5), (30,20)\}$$