Understanding Functions in Mathematics

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

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

Flashcards are hidden until you start studying

More Like This

Mathematics Relations and Functions
40 questions
Fundamentals of Functions
44 questions
Composite Functions and Their Domains
5 questions

Composite Functions and Their Domains

TemptingStatueOfLiberty1948 avatar
TemptingStatueOfLiberty1948
Use Quizgecko on...
Browser
Browser