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Relations & Functions · Question 96 of 125

Question 96

HardOriginal question

Which of these describes f:N→Nf : \mathbb{N} \to \mathbb{N}, f(n)=n2f(n) = n^{2}?

Options for question 96

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. On N\mathbb{N} there are no negatives, so a2=b2a^{2} = b^{2} gives a=ba = b: one-one.

  2. 2 is not a square: not onto.

Worth noting

On N\mathbb{N}, squaring is one-one, though on R\mathbb{R} it is not.

Concept
Classifying a function
Typical time
120 s
Your time
—
The rule this testsOne-one functions
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Ten questions from Relations & Functions, at your own pace.

Practise this chapter →

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