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Which set of points does not represent a function?

{(1,1),(9,3),(8,4),(4,0),(3,0)}

{(3,7),(7,1),(5,4),(3,6),(0,5)}

{(4,1),(8,3),(6,4),(7,3),(5,7)}

{(3,5),(8,8),(7,2),(2,4),(6,3)}

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

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Mean, median, mode, and range: find the missing number

Full solution

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

\newline

\{(1,1),(9,3),(8,4),(4,0),(3,0)\}

\newline

\{(3,7),(7,1),(5,4),(3,6),(0,5)\}

\newline

\{(4,1),(8,3),(6,4),(7,3),(5,7)\}

\newline

\{(3,5),(8,8),(7,2),(2,4),(6,3)\}

Check Input-Output Mapping: To determine if a set of points represents a function, we need to check if each input ( extit{x}-value) maps to exactly one output ( extit{y}-value). A function cannot have the same extit{x}-value pointing to multiple extit{y}-values.
Check First Set of Points: Check the first set of points: ${(1,1),(9,3),(8,4),(4,0),(3,0)}$ Each $x$ -value is unique, so this set of points represents a function.
Check Second Set of Points: Check the second set of points: ${(3,7),(7,1),(5,4),(3,6),(0,5)}$ $\newline$ The $x$ -value $3$ appears twice with different $y$ -values $(3,7)$ and $(3,6)$ , which violates the definition of a function.

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