QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Which set of ordered pairs represents a function?
\begin{aligned}
& \bigcirc\{(6,- 8),(2,- 2),(6,- 1),(8,- 7)\} \\
& \bigcirc\{(- 7,- 8),(- 3,9),(7,4),(- 1,4)\} \\
& \bigcirc\{(1,- 2),(- 6,2),(5,0),(1,6)\} \\
& \bigcirc\{(3,8),(3,6),(8,- 6),(1,- 7)\}
\end{aligned}
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Step 1: Identify the sets of ordered pairs where each first component (x-value) appears only once.
A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. In the context of ordered pairs, this means that the x-value (first component) can only appear once for a set to represent a function.
Step 2: Examine each set of ordered pairs.
For the fourth set, the first component 3 appears twice: $$\boxed{\{(3,8),(3,6),(8,-6),(1,-7)\}}$$.
This set does not represent a function. This set represents a function. This set represents a function. This set does not represent a function.
Final Answer
The sets of ordered pairs that represent a function are: \boxed{\{(- 7,- 8),(- 3,9),(7,4),(- 1,4)\}} and \boxed{\{(1,- 2),(- 6,2),(5,0),(1,6)\}}.
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