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Look at this set of ordered pairs: $\newline$ $(8, 8)$ $\newline$ $(13, 12)$ $\newline$ $(0, 10)$ $\newline$ $(16, 14)$ $\newline$ 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

(8, 8)

\newline

(13, 12)

\newline

(0, 10)

\newline

(16, 14)

\newline

Is this relation a function?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Define Function: Understand the definition of a function in terms of ordered pairs. $\newline$ A set of ordered pairs is a function if for every $x$ -value (first element of the pair), there is exactly one $y$ -value (second element of the pair) associated with it. This means that no $x$ -value is repeated with different $y$ -values.
Check Repeated Values: Examine the given set of ordered pairs to check for any repeated $x$ -values with different $y$ -values. $\newline$ The given set of ordered pairs is: $\newline$ $(8, 8)$ $\newline$ $(13, 12)$ $\newline$ $(0, 10)$ $\newline$ $(16, 14)$ $\newline$ We need to check if any $x$ -value (the first number in each pair) is repeated with a different $y$ -value (the second number in each pair).
Verify Uniqueness: Verify if the $x$ -values are unique or if any are repeated with different $y$ -values. $\newline$ Looking at the $x$ -values in the set of ordered pairs: $\newline$ $8$ , $13$ , $0$ , $16$ $\newline$ We can see that all $x$ -values are unique and none are repeated.
Conclude Function Representation: Conclude whether the given set of ordered pairs represents a function based on the definition and the examination of the $x$ -values. $\newline$ Since there are no repeated $x$ -values with different $y$ -values, the given set of ordered pairs does represent a function.

More problems from Identify functions

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[[\text{yes}]

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\text{Audrey can type \( 45 \) words in \( 68 \) seconds.}

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What is the domain of this relation?

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\{-5,-3,4,9\}

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\newline

\newline

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

\newline

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

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