engineering mathematics MCQ #948

The function f(x) = |x| is

engineering mathematics MCQ #948

  1. Question 1

    Q1. The function f(x) = |x| is

    • A) Continuous and differentiable at x = 0
    • B) Continuous but not differentiable at x = 0
    • C) Not continuous at x = 0
    • D) Differentiable but not continuous at x = 0

    Answer: Continuous but not differentiable at x = 0

    Explanation: The function f(x) = |x| is continuous everywhere, but not differentiable at x = 0 due to a sharp corner.