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JEE Main 2024 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2024

Let f(x) = |2x² + 5|x| − 3|, x ∈ R. If m and n denote the number of points where f is not continuous and not differentiable respectively, then m + n is equal to:

Answer: (A)

Solution

f is continuous everywhere (m = 0). 2x² + 5|x| − 3 = (2|x| − 1)(|x| + 3) vanishes at |x| = 1/2,

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Question ID VK-011203