Identifying Functions and Relations
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Questions and Answers

What does the vertical line test determine about a graph?

  • Whether the graph represents a function. (correct)
  • Whether the graph has a maximum or minimum value.
  • Whether the graph is continuous.
  • Whether the graph intersects the x-axis.
  • In the given relation, which x-value indicates the presence of multiple y-values?

  • -7
  • 8
  • 11 (correct)
  • 3
  • If a relation has the pair (5, 8) as part of its input-output pairs, which of the following could invalidate it as a function?

  • (5, 10) (correct)
  • (3, 5)
  • (7, 8)
  • (5, 12) (correct)
  • What condition must be met for a relation to be classified as a function?

    <p>Every x-value must have a unique output y-value.</p> Signup and view all the answers

    If a graph fails the vertical line test, what can be concluded about it?

    <p>It cannot be classified as a function.</p> Signup and view all the answers

    Based on the table provided, why is it classified as not a function?

    <p>There are repeated x-values with different y-values.</p> Signup and view all the answers

    In the mapping diagram, which of the following statements accurately describes why it is not a function?

    <p>At least one input is mapped to multiple outputs.</p> Signup and view all the answers

    What characteristic must hold true for a relation to be defined as a function?

    <p>Every input must have only one associated output.</p> Signup and view all the answers

    Which of the following could potentially result in a relation being not a function?

    <p>Repeating x-values with different y-values.</p> Signup and view all the answers

    In the context of functions, which definition is accurate?

    <p>A function relates inputs to outputs uniquely.</p> Signup and view all the answers

    Which of the following best defines the domain of a function?

    <p>The set of all input values</p> Signup and view all the answers

    What does the range of a function specifically refer to?

    <p>All possible y-values</p> Signup and view all the answers

    In a mapping diagram, what is typically shown by the lines connecting the ovals?

    <p>The relationship between input and output</p> Signup and view all the answers

    Which of the following statements is true regarding the vertical line test?

    <p>It checks if a relation is a function</p> Signup and view all the answers

    If a function does not pass the vertical line test, what can be concluded?

    <p>It is not a function</p> Signup and view all the answers

    How can the relationship between the numbers in the ovals be interpreted?

    <p>As a mapping relation</p> Signup and view all the answers

    Which option best describes the term 'mapping' in mathematics?

    <p>A representation of functions through ordered pairs</p> Signup and view all the answers

    Considering the possible sets of values, which pair would typically not be included in a mapping diagram?

    <p>Input-value of 5 to output-value of 5 and 6</p> Signup and view all the answers

    Study Notes

    Graph representing a function

    • The graph does not represent a function because the vertical line test shows repeating input values

    Relation as a function

    • The relation is not a function because the x-value 11 has two y-values paired with it.

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    Description

    Test your understanding of functions through the vertical line test and evaluation of relations. This quiz will help you to distinguish between functional and non-functional relationships based on their graph representations.

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