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Consider the graph given below of the function and answer the question that follows: Statement 1…

Mathematics20261 markMCQ
Consider the graph given below of the function $y = x^{2/3}$ and answer the question that follows: Statement 1: The function is continuous at $x = 0$. Statement 2: The function is differentiable at $x = 0$. Which one of the following is correct?
  • aStatement 1 is true and Statement 2 is false.
  • bStatement 2 is true and Statement 1 is false.
  • cBoth the statements are true.
  • dBoth the statements are false.
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Continuity, Differentiability and Differentiation

From ISC 2026 Improvement Mathematics Paper 1, question 1(ix).