Algebra Class 10 - Functions and Relations Quiz
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Questions and Answers

Which of the following statements accurately defines a relation?

  • A relation is the same as a function.
  • A relation is a function where each input has multiple outputs.
  • A relation is a set of ordered pairs. (correct)
  • A relation can only consist of numbers.
  • What distinguishes a function from a general relation?

  • In a function, each input is associated with exactly one output. (correct)
  • Every function can have multiple outputs for the same input.
  • Functions are always linear.
  • Functions cannot include real numbers.
  • Which of the following represents a function?

  • {(7, 8), (9, 8), (8, 8)}
  • {(1, 2), (1, 3), (2, 4)}
  • {(3, 5), (4, 5), (5, 5)} (correct)
  • {(2, 1), (3, 1), (2, 4)}
  • If a relation consists of the set {(2, 3), (3, 4), (2, 5)}, what can be concluded?

    <p>There are multiple outputs for the input 2.</p> Signup and view all the answers

    Which of the following describes a mapping diagram appropriately?

    <p>A mapping diagram illustrates how inputs are paired with outputs.</p> Signup and view all the answers

    Study Notes

    Defining a Relation

    • A relation is a set of ordered pairs that connects elements from two sets, typically called the domain and range.

    Distinguishing Functions from Relations

    • A function is a special type of relation where each element in the domain is paired with exactly one element in the range.

    Identifying a Function

    • A function is identified by ensuring that no two ordered pairs have the same first element (input) but different second elements (output).

    Analyzing Ordered Pairs

    • The relation {(2, 3), (3, 4), (2, 5)} is not a function because the input 2 is paired with two different outputs, 3 and 5.

    Understanding Mapping Diagrams

    • A mapping diagram visually represents a relation by connecting elements from the domain to the range with arrows, illustrating the pairings between inputs and outputs.

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    Description

    Test your understanding of functions and relations in this Algebra Class 10 quiz. It covers key concepts including definitions, mappings, and examples of functions. Challenge yourself with questions that will enhance your grasp on how these mathematical concepts interrelate.

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