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

Check Unique X-Values: To determine if a set of ordered pairs represents a function, we need to check if each input (x-value) is associated with exactly one output (y-value). A function cannot have the same input paired with different outputs.First Set Analysis: Let's examine the first set of ordered pairs: {(5,-1),(2,-3),(-8,1),(-3,2)}. We need to check if any x-value is repeated with a different y-value.Second Set Analysis: In the first set, all x-values are unique: 5, 2, -8, -3. Since no x-value is repeated, this set represents a function.Third Set Analysis: Now, let's examine the second set of ordered pairs: {(1,3),(4,-9),(-7,3),(-1,6)}. Again, we check for any repeated x-values.Fourth Set Analysis: In the second set, all x-values are unique: 1, 4, -7, -1. Since no x-value is repeated, this set also represents a function.Next, let's examine the third set of ordered pairs: {(2,-4),(-3,-5),(-1,6),(-2,-5)}. We check for any repeated x-values.In the third set, all x-values are unique: 2, -3, -1, -2. Since no x-value is repeated, this set represents a function as well.Finally, let's examine the fourth set of ordered pairs: {(-2,-9),(3,-5),(3,1),(2,-6)}. We need to check for any repeated x-values.In the fourth set, the x-value 3 is repeated with two different y-values: -5 and 1. This means that the same input (x-value) is associated with more than one output (y-value), which violates the definition of a function.

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Which set of ordered pairs does not represent a function?

{(5,-1),(2,-3),(-8,1),(-3,2)}

{(1,3),(4,-9),(-7,3),(-1,6)}

{(2,-4),(-3,-5),(-1,6),(-2,-5)}

{(-2,-9),(3,-5),(3,1),(2,-6)}

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

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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 does not represent a function?

\newline

\{(5,-1),(2,-3),(-8,1),(-3,2)\}

\newline

\{(1,3),(4,-9),(-7,3),(-1,6)\}

\newline

\{(2,-4),(-3,-5),(-1,6),(-2,-5)\}

\newline

\{(-2,-9),(3,-5),(3,1),(2,-6)\}

Check Unique $X$ -Values: To determine if a set of ordered pairs represents a function, we need to check if each input ( $x$ -value) is associated with exactly one output ( $y$ -value). A function cannot have the same input paired with different outputs.
First Set Analysis: Let's examine the first set of ordered pairs: $\{(5,-1),(2,-3),(-8,1),(-3,2)\}$ . We need to check if any $x$ -value is repeated with a different $y$ -value.
Second Set Analysis: In the first set, all $x$ -values are unique: $5$ , $2$ , $-8$ , $-3$ . Since no $x$ -value is repeated, this set represents a function.
Third Set Analysis: Now, let's examine the second set of ordered pairs: ${(1,3),(4,-9),(-7,3),(-1,6)}$ . Again, we check for any repeated $x$ -values.
Fourth Set Analysis: In the second set, all $x$ -values are unique: $1$ , $4$ , $-7$ , $-1$ . Since no $x$ -value is repeated, this set also represents a function.
Fourth Set Analysis: In the second set, all $x$ -values are unique: $1$ , $4$ , $-7$ , $-1$ . Since no $x$ -value is repeated, this set also represents a function.Next, let's examine the third set of ordered pairs: $\{(2,-4),(-3,-5),(-1,6),(-2,-5)\}$ . We check for any repeated $x$ -values.
Fourth Set Analysis: In the second set, all $x$ -values are unique: $1$ , $4$ , $-7$ , $-1$ . Since no $x$ -value is repeated, this set also represents a function.Next, let's examine the third set of ordered pairs: $\{(2,-4),(-3,-5),(-1,6),(-2,-5)\}$ . We check for any repeated $x$ -values.In the third set, all $x$ -values are unique: $2$ , $1$ $0$ , $-1$ , $1$ $2$ . Since no $x$ -value is repeated, this set represents a function as well.
Fourth Set Analysis: In the second set, all $x$ -values are unique: $1$ , $4$ , $-7$ , $-1$ . Since no $x$ -value is repeated, this set also represents a function.Next, let's examine the third set of ordered pairs: $\{(2,-4),(-3,-5),(-1,6),(-2,-5)\}$ . We check for any repeated $x$ -values.In the third set, all $x$ -values are unique: $2$ , $1$ $0$ , $-1$ , $1$ $2$ . Since no $x$ -value is repeated, this set represents a function as well.Finally, let's examine the fourth set of ordered pairs: $1$ $4$ . We need to check for any repeated $x$ -values.
Fourth Set Analysis: In the second set, all $x$ -values are unique: $1$ , $4$ , $-7$ , $-1$ . Since no $x$ -value is repeated, this set also represents a function.Next, let's examine the third set of ordered pairs: $\{(2,-4),(-3,-5),(-1,6),(-2,-5)\}$ . We check for any repeated $x$ -values.In the third set, all $x$ -values are unique: $2$ , $1$ $0$ , $-1$ , $1$ $2$ . Since no $x$ -value is repeated, this set represents a function as well.Finally, let's examine the fourth set of ordered pairs: $1$ $4$ . We need to check for any repeated $x$ -values.In the fourth set, the $x$ -value $1$ $7$ is repeated with two different $1$ $8$ -values: $1$ $9$ and $1$ . This means that the same input ( $x$ -value) is associated with more than one output ( $1$ $8$ -value), which violates the definition of a function.