Which set of points does not represent a one-to-one function?{(7,8),(5,5),(3,0),(4,8),(0,1)}{(5,4),(7,1),(9,6),(6,8),(4,2)}{(4,6),(0,2),(6,8),(2,5),(8,9)}{(8,1),(9,9),(7,7),(1,3),(5,0)}
Q. Which set of points does not represent a one-to-one function?{(7,8),(5,5),(3,0),(4,8),(0,1)}{(5,4),(7,1),(9,6),(6,8),(4,2)}{(4,6),(0,2),(6,8),(2,5),(8,9)}{(8,1),(9,9),(7,7),(1,3),(5,0)}
Definition of One-to-One Function: A one-to-one function, also known as an injective function, is a function where each x-value is paired with 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 of Points: Check the first set of points: (7,8),(5,5),(3,0),(4,8),(0,1). We see that the y-value 8 appears twice, once for x=7 and once for x=4. This means that this set of points does not represent a one-to-one function because the same y-value is paired with more than one x-value.
Check Second Set of Points: Check the second set of points: (5,4),(7,1),(9,6),(6,8),(4,2). All y-values are unique for different x-values. This set represents a one-to-one function.
Check Third Set of Points: Check the third set of points: (4,6),(0,2),(6,8),(2,5),(8,9). All y-values are unique for different x-values. This set represents a one-to-one function.
Check Fourth Set of Points: Check the fourth set of points: (8,1),(9,9),(7,7),(1,3),(5,0). All y-values are unique for different x-values. This set represents a one-to-one function.
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