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

Define Function: A function is defined as a relation where each input (x-value) has exactly one output (y-value). To determine which set of ordered pairs does not represent a function, we need to check if there are any repeated x-values with different y-values in each set.Check First Set: Let's examine the first set: {(-4,-3),(-7,9),(7,-8),(-4,6)} We can see that the x-value -4 appears twice with different y-values (-3 and 6). This violates the definition of a function, where each x-value must be associated with exactly one y-value.Check Second Set: Now let's check the second set: {(-5,-4),(5,3),(-4,-7),(3,4)} In this set, all x-values are unique, so this set does represent a function.Check Third Set: Next, we examine the third set: {(-4,8),(0,8),(9,-3),(4,9)} All x-values in this set are also unique, so this set represents a function.Check Fourth Set: Finally, let's look at the fourth set: {(2,-7),(-6,7),(-8,7),(-5,-5)} All x-values in this set are unique as well, which means this set represents a function.Identify Set Without Function: Since the first set is the only one with repeated x-values that have different y-values, it is the set that does not represent a function.

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Which set of ordered pairs does not represent a function?

{(-4,-3),(-7,9),(7,-8),(-4,6)}

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

{(-4,8),(0,8),(9,-3),(4,9)}

{(2,-7),(-6,7),(-8,7),(-5,-5)}

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

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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

\{(-4,-3),(-7,9),(7,-8),(-4,6)\}

\newline

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

\newline

\{(-4,8),(0,8),(9,-3),(4,9)\}

\newline

\{(2,-7),(-6,7),(-8,7),(-5,-5)\}

Define Function: A function is defined as a relation where each input ( extit{x}-value) has exactly one output ( extit{y}-value). To determine which set of ordered pairs does not represent a function, we need to check if there are any repeated extit{x}-values with different extit{y}-values in each set.
Check First Set: Let's examine the first set: $\{(-4,-3),(-7,9),(7,-8),(-4,6)\}$ $\newline$ We can see that the $x$ -value $-4$ appears twice with different $y$ -values ( $-3$ and $6$ ). This violates the definition of a function, where each $x$ -value must be associated with exactly one $y$ -value.
Check Second Set: Now let's check the second set: $\{(-5,-4),(5,3),(-4,-7),(3,4)\}$ $\newline$ In this set, all $x$ -values are unique, so this set does represent a function.
Check Third Set: Next, we examine the third set: $\{(-4,8),(0,8),(9,-3),(4,9)\}$ All $x$ -values in this set are also unique, so this set represents a function.
Check Fourth Set: Finally, let's look at the fourth set: $\{(2,-7),(-6,7),(-8,7),(-5,-5)\}$ All $x$ -values in this set are unique as well, which means this set represents a function.
Identify Set Without Function: Since the first set is the only one with repeated $x$ -values that have different $y$ -values, it is the set that does not represent a function.