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Relations & Functions · Question 87 of 125

Question 87

MediumOriginal question

Which of these describes f:R→Rf : \mathbb{R} \to \mathbb{R}, f(x)=∣x∣f(x) = \lvert x \rvert?

Options for question 87

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. f(−3)=f(3)=3f(-3) = f(3) = 3: not one-one.

  2. ∣x∣\lvert x \rvert is never negative, so −1-1 is not reached: not onto.

Worth noting

The modulus, like the square, loses the sign.

Concept
Classifying a function
Typical time
90 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.