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Continuity & Differentiability · Question 87 of 125

At how many points is this sum of two moduli not continuous?

Question 87

EasyOriginal question

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

At how many points is this sum of two moduli not continuous?

0

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1

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2

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3

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CorrectNot quiteAnswer A

Correct answer: A

Each modulus is continuous everywhere, and so is their sum.
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Worth noting

2 counts the corners, which spoil differentiability, not continuity.

Concept: Recognising continuous functions
Typical timeTypical: 90 s
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The rule this testsDifferentiability

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