EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Relations & Functions · Question 107 of 125

Question 107

MediumOriginal question

Which of these describes f:N→Nf : \mathbb{N} \to \mathbb{N}, f(n)=n+3f(n) = n + 3?

Options for question 107

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. a+3=b+3a + 3 = b + 3 gives a=ba = b: one-one.

  2. 1, 2 and 3 have no natural number 3 below them: not onto.

Worth noting

The same rule as on Z\mathbb{Z} loses the numbers 1, 2 and 3 on N\mathbb{N}.

Concept
Classifying a function
Typical time
90 s
Your time
—
The rule this testsOnto and bijective functions
Practise this chapter →

Ten questions from Relations & Functions, at your own pace.

Practise this chapter →

Ten questions from Relations & Functions, at your own pace.