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Look at this set of ordered pairs: $\newline$ $(1, 15)$ $\newline$ $(18, 0)$ $\newline$ $(18, 11)$ $\newline$ 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

(18, 0)

\newline

(18, 11)

\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).
Examine Ordered Pairs: Step $2$ : Examine the given ordered pairs for duplicate $x$ -values with different $y$ -values: $\newline$ $(1, 15)$ $\newline$ $(18, 0)$ $\newline$ $(18, 11)$ $\newline$ Here, the $x$ -value $18$ corresponds to two different $y$ -values ( $0$ and $11$ ).
Identify Violation: Step $3$ : Since the $x$ -value $18$ maps to more than one $y$ -value, this violates the definition of a function. Therefore, the relation is not a function.

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