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

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 Set 1: Check the first set of points: {(0,6),(6,3),(5,2),(1,8),(6,5)} We see that the x-value 6 appears twice with different y-values (3 and 5). This violates the definition of a one-to-one function, as one x-value is associated with more than one y-value.Check Set 2: Check the second set of points: {(5,5),(0,8),(9,4),(7,9),(4,0)} Each x-value is unique and each y-value is unique. This set represents a one-to-one function.Check Set 3: Check the third set of points: {(3,4),(2,3),(6,0),(4,2),(8,7)} Each x-value is unique and each y-value is unique. This set represents a one-to-one function.Check Set 4: Check the fourth set of points: {(8,7),(2,1),(3,6),(1,2),(6,4)} Each x-value is unique and each y-value is unique. This set represents a one-to-one function.

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Which set of points does not represent a one-to-one function?

{(0,6),(6,3),(5,2),(1,8),(6,5)}

{(5,5),(0,8),(9,4),(7,9),(4,0)}

{(3,4),(2,3),(6,0),(4,2),(8,7)}

{(8,7),(2,1),(3,6),(1,2),(6,4)}

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

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Math Problems

Algebra 1

Write a quadratic function from its x-intercepts and another point

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Q. Which set of points does not represent a one-to-one function?

\newline

\{(0,6),(6,3),(5,2),(1,8),(6,5)\}

\newline

\{(5,5),(0,8),(9,4),(7,9),(4,0)\}

\newline

\{(3,4),(2,3),(6,0),(4,2),(8,7)\}

\newline

\{(8,7),(2,1),(3,6),(1,2),(6,4)\}

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 Set $1$ : Check the first set of points: $\{(0,6),(6,3),(5,2),(1,8),(6,5)\}$ $\newline$ We see that the $x$ -value $6$ appears twice with different $y$ -values ( $3$ and $5$ ). This violates the definition of a one-to-one function, as one $x$ -value is associated with more than one $y$ -value.
Check Set $2$ : Check the second set of points: ${(5,5),(0,8),(9,4),(7,9),(4,0)}$ $\newline$ Each $x$ -value is unique and each $y$ -value is unique. This set represents a one-to-one function.
Check Set $3$ : Check the third set of points: ${(3,4),(2,3),(6,0),(4,2),(8,7)}$ $\newline$ Each $x$ -value is unique and each $y$ -value is unique. This set represents a one-to-one function.
Check Set $4$ : Check the fourth set of points: ${(8,7),(2,1),(3,6),(1,2),(6,4)}$ $\newline$ Each $x$ -value is unique and each $y$ -value is unique. This set represents a one-to-one function.