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Look at this set of ordered pairs: $\newline$ $(9, 9)$ $\newline$ $(9, 11)$ $\newline$ $(7, 16)$ $\newline$ $(10, 2)$ $\newline$ Is this relation a function? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Identify functions

Full solution

Q. Look at this set of ordered pairs:

\newline

(9, 9)

\newline

(9, 11)

\newline

(7, 16)

\newline

(10, 2)

\newline

Is this relation a function?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand Function Definition: Step $1$ : Understand the definition of a function. A relation is a function if each input ( $x$ -value) has exactly one output ( $y$ -value). Check if any $x$ -value is repeated with different $y$ -values.
List X and Y Values: Step $2$ : List all $x$ -values and their corresponding $y$ -values from the given ordered pairs. $(9, 9)$ , $(9, 11)$ , $(7, 16)$ , $(10, 2)$ Here, the $x$ -value $9$ is paired with $y$ -values $9$ and $y$ $0$ .
Check Repeated Values: Step $3$ : Check for repeated $x$ -values with different $y$ -values. $\newline$ Since $9$ is paired with both $9$ and $11$ , this shows that the $x$ -value $9$ has more than one output.

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\newline

\newline

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