Which set of points does not represent a one-to-one function? {(9,0),(5,2),(0,8),(2,4),(6,3)} {(0,6),(1,4),(2,9),(6,1),(3,5)} {(2,0),(6,8),(8,7),(9,5),(5,3)} {(2,4),(5,8),(9,5),(6,0),(6,9)}

Question

Which set of points does not represent a one-to-one function?  {(9,0),(5,2),(0,8),(2,4),(6,3)}  {(0,6),(1,4),(2,9),(6,1),(3,5)}  {(2,0),(6,8),(8,7),(9,5),(5,3)}  {(2,4),(5,8),(9,5),(6,0),(6,9)}

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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.Set 1 Analysis: Let's examine the first set of points: {(9,0),(5,2),(0,8),(2,4),(6,3)}. We need to check if any y-value is repeated. Looking at the y-values: 0, 2, 8, 4, 3, we can see that all y-values are unique. This set represents a one-to-one function.Set 2 Analysis: Now, let's examine the second set of points: {(0,6),(1,4),(2,9),(6,1),(3,5)}. We need to check if any y-value is repeated. Looking at the y-values: 6, 4, 9, 1, 5, we can see that all y-values are unique. This set represents a one-to-one function.Set 3 Analysis: Next, let's examine the third set of points: {(2,0),(6,8),(8,7),(9,5),(5,3)}. We need to check if any y-value is repeated. Looking at the y-values: 0, 8, 7, 5, 3, we can see that all y-values are unique. This set represents a one-to-one function.Set 4 Analysis: Finally, let's examine the fourth set of points: {(2,4),(5,8),(9,5),(6,0),(6,9)}. We need to check if any y-value is repeated. Looking at the y-values: 4, 8, 5, 0, 9, we can see that all y-values are unique. However, we notice that the x-value 6 is repeated for two different y-values (0 and 9). This set does not represent a one-to-one function because the same x-value (6) is associated with more than one y-value.

Which set of points does not represent a one-to-one function? $\newline$ $\{(9,0),(5,2),(0,8),(2,4),(6,3)\}$ $\newline$ $\{(0,6),(1,4),(2,9),(6,1),(3,5)\}$ $\newline$ $\{(2,0),(6,8),(8,7),(9,5),(5,3)\}$ $\newline$ $\{(2,4),(5,8),(9,5),(6,0),(6,9)\}$

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