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Understanding Functions in Mathematics
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Understanding Functions in Mathematics

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Questions and Answers

What is the set X called in a function from a set X to a set Y?

  • Function space
  • Range
  • Codomain
  • Domain (correct)

    • How is the value of a function f at an element x of its domain denoted?

  • $f(x+1)$
  • $f * x$
  • $f(x)$ (correct)
  • $f_x$

    • What was historically the idealization of how a varying quantity depends on another quantity?

  • Derivative
  • Equation
  • Function (correct)
  • Integral

    • How is the value at 4 of the function that maps x to $(x + 1)^2$ denoted?

    <p>$(x + 1)^2 |_{x=4}$</p> Signup and view all the answers

    What greatly enlarged the domains of application of the concept of a function at the end of the 19th century?

    <p>Formalization in terms of set theory</p> Signup and view all the answers

    In the context of sets, what does the term 'cardinality' refer to?

    <p>The number of elements in a set</p> Signup and view all the answers

    What is the range of a function?

    <p>The set of all possible output values of the function</p> Signup and view all the answers

    In the context of relations, what does it mean if a relation is symmetric?

    <p>If (a, b) is in the relation, then (b, a) is also in the relation</p> Signup and view all the answers

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