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

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