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Look at this set of ordered pairs: $\newline$ $(8, 1)$ $\newline$ $(8, 2)$ $\newline$ $(15, 11)$ $\newline$ $(15, 12)$ $\newline$ 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

(8, 1)

\newline

(8, 2)

\newline

(15, 11)

\newline

(15, 12)

\newline

Is this relation a function?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Define Function in Ordered Pairs: Define what a function is in terms of ordered pairs. $\newline$ A relation is a function if each input (first component of the ordered pairs) is associated with exactly one output (second component of the ordered pairs). This means that in the set of ordered pairs, each $x$ -value should be paired with only one $y$ -value.
Examine Given Ordered Pairs: Examine the given set of ordered pairs to see if any input value is associated with more than one output value. $\newline$ The given set of ordered pairs is: $\newline$ $(8, 1)$ $\newline$ $(8, 2)$ $\newline$ $(15, 11)$ $\newline$ $(15, 12)$ $\newline$ We can see that the input value $8$ is associated with two different output values ( $1$ and $2$ ), and the input value $15$ is also associated with two different output values ( $11$ and $12$ ).
Determine Relation as Function: Determine if the relation is a function based on the examination in Step $2$ . $\newline$ Since the input values $8$ and $15$ are each associated with more than one output value, this relation is not a function.

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\newline

\newline

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