f : 1, 2, 3, 4 → p, q, r is f = (1, p), (2, q), (3, r), (4, q). Which of these describes f?

Relations & Functions · Question 105 of 125

Question 105

MediumOriginal question

$f : \{1, 2, 3, 4\} \to \{p, q, r\}$ is $f = \{(1, p), (2, q), (3, r), (4, q)\}$ . Which of these describes $f$ ?

Onto but not one-oneCorrect answerYour answerOne-one and ontoCorrect answerYour answerNeither one-one nor ontoCorrect answerYour answerOne-one but not ontoCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Two elements both go to q: not one-one.
Every element of the codomain is an image: onto.

Concept: A function on a finite set
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsOnto and bijective functions

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f:{1,2,3,4}→{p,q,r}f : \{1, 2, 3, 4\} \to \{p, q, r\}f:{1,2,3,4}→{p,q,r} is f={(1,p),(2,q),(3,r),(4,q)}f = \{(1, p), (2, q), (3, r), (4, q)\}f={(1,p),(2,q),(3,r),(4,q)}. Which of these describes fff?

Explanation

$f : \{1, 2, 3, 4\} \to \{p, q, r\}$ is $f = \{(1, p), (2, q), (3, r), (4, q)\}$ . Which of these describes $f$ ?