Which set of ordered pairs represents a function? {(8,2),(-6,2),(9,3),(-6,-6)} {(4,3),(8,6),(6,3),(-8,0)} {(-6,9),(-6,8),(4,-4),(-7,-5)} {(-4,9),(3,5),(7,8),(7,-8)}

Definition of a Function: A function is defined as a set of ordered pairs where each input (x-value) is associated with exactly one output (y-value). To determine which set of ordered pairs represents a function, we need to check if any x-value is repeated with different y-values.Checking First Set: Let's examine the first set: {(8,2),(-6,2),(9,3),(-6,-6)} Here, the x-value -6 is associated with two different y-values: 2 and -6. This violates the definition of a function.Checking Second Set: Now, let's examine the second set: {(4,3),(8,6),(6,3),(-8,0)} In this set, each x-value is unique and is associated with only one y-value. This set represents a function.Checking Third Set: We do not need to check the remaining sets because we have already found a set that represents a function. However, for completeness, let's quickly check them.Checking Fourth Set: The third set is: {(-6,9),(-6,8),(4,-4),(-7,-5)} Here, the x-value -6 is associated with two different y-values: 9 and 8. This set does not represent a function.The fourth set is: {(-4,9),(3,5),(7,8),(7,-8)} Here, the x-value 7 is associated with two different y-values: 8 and -8. This set does not represent a function.

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Which set of ordered pairs represents a function?

{(8,2),(-6,2),(9,3),(-6,-6)}

{(4,3),(8,6),(6,3),(-8,0)}

{(-6,9),(-6,8),(4,-4),(-7,-5)}

{(-4,9),(3,5),(7,8),(7,-8)}

Which set of ordered pairs represents a function? $\newline$ $\{(8,2),(-6,2),(9,3),(-6,-6)\}$ $\newline$ $\{(4,3),(8,6),(6,3),(-8,0)\}$ $\newline$ $\{(-6,9),(-6,8),(4,-4),(-7,-5)\}$ $\newline$ $\{(-4,9),(3,5),(7,8),(7,-8)\}$

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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 ordered pairs represents a function?

\newline

\{(8,2),(-6,2),(9,3),(-6,-6)\}

\newline

\{(4,3),(8,6),(6,3),(-8,0)\}

\newline

\{(-6,9),(-6,8),(4,-4),(-7,-5)\}

\newline

\{(-4,9),(3,5),(7,8),(7,-8)\}

Definition of a Function: A function is defined as a set of ordered pairs where each input ( extit{x}-value) is associated with exactly one output ( extit{y}-value). To determine which set of ordered pairs represents a function, we need to check if any extit{x}-value is repeated with different extit{y}-values.
Checking First Set: Let's examine the first set: ${(8,2),(-6,2),(9,3),(-6,-6)}$ $\newline$ Here, the $x$ -value $-6$ is associated with two different $y$ -values: $2$ and $-6$ . This violates the definition of a function.
Checking Second Set: Now, let's examine the second set: $\{(4,3),(8,6),(6,3),(-8,0)\}$ $\newline$ In this set, each $x$ -value is unique and is associated with only one $y$ -value. This set represents a function.
Checking Third Set: We do not need to check the remaining sets because we have already found a set that represents a function. However, for completeness, let's quickly check them.
Checking Fourth Set: The third set is: $\{(-6,9),(-6,8),(4,-4),(-7,-5)\}$ $\newline$ Here, the $x$ -value $-6$ is associated with two different $y$ -values: $9$ and $8$ . This set does not represent a function.
Checking Fourth Set: The third set is: ${(-6,9),(-6,8),(4,-4),(-7,-5)}$ $\newline$ Here, the $x$ -value $-6$ is associated with two different $y$ -values: $9$ and $8$ . This set does not represent a function.The fourth set is: ${(-4,9),(3,5),(7,8),(7,-8)}$ $\newline$ Here, the $x$ -value $7$ is associated with two different $y$ -values: $8$ and $x$ $1$ . This set does not represent a function.