The function represented by the following graph is,

• A

  Differentiable but not continuous at \( x=1 \)
• B

  Neither continuous nor differentiable at \( x=1 \)
• Correct answer
  C

  Continuous but not differentiable at \( x=1 \)
• D

  Continuous and differentiable at \( x=1 \)

Solution

From the given graph we have,

Therefore, the given function is continuous but not differentiable at \( x=1 \).

Hence, the correct answer is option: 'C'.