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Continuity & Differentiability · Question 86 of 125

What is f(2) for this sum of two moduli?

Question 86

EasyOriginal question

Let $f(x) = \lvert x - 1 \rvert + \lvert x - 3 \rvert$ .

What is $f(2)$ for this sum of two moduli?

0

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1

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2

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4

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

$\lvert 2 - 1 \rvert + \lvert 2 - 3 \rvert = 1 + 1$ .
$f(2) = 2$ .

Worth noting

0 drops the modulus on $2 - 3 = -1$ .

Concept: Evaluating a modulus function
Typical timeTypical: 90 s
Your timeYours: —

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