Questions and Solutions

Class: 12 Subject: Math Type: Mcq Year: 2024

Question 1:

If \( f(x) = |x| + |x-1| \), then which of the following is correct?

  • A. \( f(x) \) is both continuous and differentiable at \( x=0 \) and \( x=1 \)
  • B. \( f(x) \) is differentiable but not continuous at \( x=0 \) and \( x=1 \)
  • C. \( f(x) \) is continuous but not differentiable at \( x=0 \) and \( x=1 \)
  • D. \( f(x) \) is neither continuous nor differentiable at \( x=0 \) and \( x=1 \)