Which set of ordered pairs represents a function? {(1,9),(8,-7),(0,-7),(7,0)} {(-1,-1),(8,4),(6,1),(-1,4)} {(-4,-5),(-8,-1),(2,-3),(2,4)} {(0,-2),(-2,-8),(3,4),(-2,-6)}

Question

Which set of ordered pairs represents a function?  {(1,9),(8,-7),(0,-7),(7,0)}  {(-1,-1),(8,4),(6,1),(-1,4)}  {(-4,-5),(-8,-1),(2,-3),(2,4)}  {(0,-2),(-2,-8),(3,4),(-2,-6)}

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Check for Unique Inputs: To determine if a set of ordered pairs represents a function, we need to check if each input (x-value) maps to exactly one output (y-value). A function cannot have the same input mapping to different outputs.First Set Analysis: Let's examine the first set of ordered pairs: {(1,9),(8,-7),(0,-7),(7,0)}. We need to check if any x-value is repeated with a different y-value. Looking at the x-values: 1, 8, 0, 7, we see that they are all unique. Since no x-value is repeated, this set of ordered pairs represents a function.Second Set Analysis: Now, let's examine the second set of ordered pairs: {(-1,-1),(8,4),(6,1),(-1,4)}. We need to check for repeated x-values. Looking at the x-values: -1, 8, 6, -1, we see that -1 is repeated with different y-values (-1 and 4). Since the x-value -1 maps to two different y-values, this set of ordered pairs does not represent a function.Third Set Analysis: Next, let's examine the third set of ordered pairs: {(-4,-5),(-8,-1),(2,-3),(2,4)}. We need to check for repeated x-values. Looking at the x-values: -4, -8, 2, 2, we see that 2 is repeated with different y-values (-3 and 4). Since the x-value 2 maps to two different y-values, this set of ordered pairs does not represent a function.Fourth Set Analysis: Finally, let's examine the fourth set of ordered pairs: {(0,-2),(-2,-8),(3,4),(-2,-6)}. We need to check for repeated x-values. Looking at the x-values: 0, -2, 3, -2, we see that -2 is repeated with different y-values (-8 and -6). Since the x-value -2 maps to two different y-values, this set of ordered pairs does not represent a function.

Which set of ordered pairs represents a function? $\newline$ $\{(1,9),(8,-7),(0,-7),(7,0)\}$ $\newline$ $\{(-1,-1),(8,4),(6,1),(-1,4)\}$ $\newline$ $\{(-4,-5),(-8,-1),(2,-3),(2,4)\}$ $\newline$ $\{(0,-2),(-2,-8),(3,4),(-2,-6)\}$

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