For the function f(x) = -2|_e|x||, which of the following is true? Option 1: It is continuous and differentiable for all x > 1. Option 2: f(5) > 0 Option 3: It is differentiable at x = 1. Option 4: It is continuous and differentiable at x = 0.

The answer is 'It is continuous and differentiable for all x > 1.'. View full solution:

CUET Mathematics - For the function f(x) = -2|_e|x||, which of the following is true? | PYQs + Solutions

CUET Mathematics 2026 19th May Shift 2

Calculus

Medium

core

It is continuous and differentiable for all $x > 1$ .

$f(5) > 0$

It is differentiable at $x = 1$ .

It is continuous and differentiable at $x = 0$ .

✅ Correct Option: 1