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Look at this set of ordered pairs: $\newline$ $(2, 14)$ $\newline$ $(3, 4)$ $\newline$ $(5, 6)$ $\newline$ $(10, 5)$ $\newline$ Is this relation a function? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Identify functions

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Q. Look at this set of ordered pairs:

\newline

(2, 14)

\newline

(3, 4)

\newline

(5, 6)

\newline

(10, 5)

\newline

Is this relation a function?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Define a function: Step $1$ : Define a function. $\newline$ A relation is a function if each input $x$ -value) has exactly one output $y$ -value).
Check ordered pairs: Step $2$ : Check the ordered pairs. $\newline$ $(2, 14), (3, 4), (5, 6), (10, 5)$ $\newline$ We need to see if any $x$ -value is repeated with different $y$ -values.
Analyze $x$ -values: Step $3$ : Analyze the $x$ -values. $x$ -values are $2$ , $3$ , $5$ , and $10$ . None of these $x$ -values are repeated.
Conclusion: Step $4$ : Conclusion based on the analysis. $\newline$ Since no $x$ -value is repeated with a different $y$ -value, the relation is a function.

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\newline

\newline

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\newline

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