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Look at this set of ordered pairs: $\newline$ $(17, 15)$ $\newline$ $(7, 12)$ $\newline$ $(12, 14)$ $\newline$ 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

(17, 15)

\newline

(7, 12)

\newline

(12, 14)

\newline

Is this relation a function?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Define function: Step $1$ : Define a function. $\newline$ A relation is a function if each input ( $x$ -value) has exactly one output ( $y$ -value). We need to check if any $x$ -value in the set of ordered pairs repeats with a different $y$ -value.
List $x$ -values: Step $2$ : List the $x$ -values from the ordered pairs. $\newline$ From the pairs $(17, 15)$ , $(7, 12)$ , and $(12, 14)$ , the $x$ -values are $17$ , $7$ , and $12$ .
Check for repeats: Step $3$ : Check for repeated $x$ -values. $\newline$ The $x$ -values $17$ , $7$ , and $12$ are all different. There are no repeats, so each $x$ -value is paired with exactly one $y$ -value.

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\newline

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[B] l \text{ is the independent variable and } s \text{ is the dependent variable }

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