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Let f(x)= … Then, which of the following is true?

CUET UG 2025 — Mathematics Calculus

2025mcqmedium

Let

$f(x)={∣x∣+3if x≤−3−2xif −3<x<36x+2if x≥3\begin{cases} |x|+3 & \text{if } x\le -3 \\ -2x & \text{if } -3<x<3 \\ 6x+2 & \text{if } x\ge 3 \end{cases}⎩⎨⎧​∣x∣+3−2x6x+2​if x≤−3if −3<x<3if x≥3​$

Then, which of the following is true?

Official previous-year question

Held on 3 Jun 2025 · Verified 13 Jul 2026.

Options

  1. A

    f(x)f(x)f(x) is discontinuous at both x=3x = 3x=3 and x=−3x = -3x=−3

  2. B

    f(x)f(x)f(x) is continuous at both x=3x = 3x=3 and x=−3x = -3x=−3

  3. C

    f(x)f(x)f(x) is discontinuous at x=−3x = -3x=−3

  4. D

    f(x)f(x)f(x) is discontinuous at x=3x = 3x=3

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