f : 1, 2, 3 → x, y, z is f = (1, x), (2, x), (3, y). Which of these describes f?

Relations & Functions · Question 100 of 125

Question 100

EasyOriginal question

$f : \{1, 2, 3\} \to \{x, y, z\}$ is $f = \{(1, x), (2, x), (3, y)\}$ . Which of these describes $f$ ?

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

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Two elements both go to x: not one-one.
z is no element's image: not onto.

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

The rule this testsOnto and bijective functions

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f:{1,2,3}→{x,y,z}f : \{1, 2, 3\} \to \{x, y, z\}f:{1,2,3}→{x,y,z} is f={(1,x),(2,x),(3,y)}f = \{(1, x), (2, x), (3, y)\}f={(1,x),(2,x),(3,y)}. Which of these describes fff?

Explanation

$f : \{1, 2, 3\} \to \{x, y, z\}$ is $f = \{(1, x), (2, x), (3, y)\}$ . Which of these describes $f$ ?