Which set of points does not represent a one-to-one function?{(9,8),(8,9),(5,6),(6,4),(1,7)}{(9,6),(0,4),(3,5),(1,9),(5,6)}{(1,5),(4,0),(8,2),(3,1),(7,8)}{(2,7),(5,4),(4,0),(1,5),(3,2)}
Q. Which set of points does not represent a one-to-one function?{(9,8),(8,9),(5,6),(6,4),(1,7)}{(9,6),(0,4),(3,5),(1,9),(5,6)}{(1,5),(4,0),(8,2),(3,1),(7,8)}{(2,7),(5,4),(4,0),(1,5),(3,2)}
Function Definition: A one-to-one function, also known as an injective function, is a function where each x-value is paired with exactly one unique y-value, and no y-value is repeated. To determine which set of points does not represent a one-to-one function, we need to check if any y-value is repeated for different x-values in each set.
Check First Set: Check the first set of points: (9,8),(8,9),(5,6),(6,4),(1,7). We see that all y-values are unique for different x-values. Therefore, this set represents a one-to-one function.
Check Second Set: Check the second set of points: (9,6),(0,4),(3,5),(1,9),(5,6). We see that the y-value 6 is repeated for x-values 9 and 5. Therefore, this set does not represent a one-to-one function.
Conclusion: Since we have already found a set that does not represent a one-to-one function, we can conclude the problem. However, for completeness, let's check the remaining sets.
Check Third Set: Check the third set of points: (1,5),(4,0),(8,2),(3,1),(7,8). We see that all y-values are unique for different x-values. Therefore, this set represents a one-to-one function.
Check Fourth Set: Check the fourth set of points: (2,7),(5,4),(4,0),(1,5),(3,2). We see that all y-values are unique for different x-values. Therefore, this set represents a one-to-one function.
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