f : 1, 2, 3 → a, b, c is f = (1, b), (2, c), (3, a). Which of these describes f?

Relations & Functions · Question 73 of 125

Question 73

EasyOriginal question

$f : \{1, 2, 3\} \to \{a, b, c\}$ is $f = \{(1, b), (2, c), (3, a)\}$ . Which of these describes $f$ ?

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

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

No two elements share an image: one-one.
Every element of the codomain is an image: onto.

Concept: A function on a finite set
Typical timeTypical: 60 s
Your timeYours: —

The rule this testsOne-one functions

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f:{1,2,3}→{a,b,c}f : \{1, 2, 3\} \to \{a, b, c\}f:{1,2,3}→{a,b,c} is f={(1,b),(2,c),(3,a)}f = \{(1, b), (2, c), (3, a)\}f={(1,b),(2,c),(3,a)}. Which of these describes fff?

Explanation

$f : \{1, 2, 3\} \to \{a, b, c\}$ is $f = \{(1, b), (2, c), (3, a)\}$ . Which of these describes $f$ ?