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Look at this set of ordered pairs: $\newline$ $(1, 15)$ $\newline$ $(16, 2)$ $\newline$ $(15, 7)$ $\newline$ 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

(1, 15)

\newline

(16, 2)

\newline

(15, 7)

\newline

Is this relation a function?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Define function: Understand the definition of 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 given ordered pairs repeats with different $y$ -values.
List $x-y$ values: List all the $x$ -values and their corresponding $y$ -values from the ordered pairs. $\newline$ $(1, 15), (16, 2), (15, 7)$ $\newline$ Here, the $x$ -values are $1$ , $16$ , and $15$ .
Check for repeats: Check for repeated $x$ -values. $\newline$ The $x$ -values $1$ , $16$ , and $15$ are all different; none of them repeat.
Conclude function: Conclude if the relation is a function. $\newline$ Since no $x$ -value is repeated with a different $y$ -value, this relation is a function.

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\newline

\newline

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