Let f be a real-valued function of a real variable defined as f(x) = x2 for x ≥ 0, and f(x) = -x2 for x < 0.Which one of the following statements is true?

f(x) is continuous but not differentiable at x = 0.

f(x) is differentiable but its first derivative is not continuous x = 0.

f(x) is differentiable but its first derivative is not differentiable at x = 0.

Let f be a real-valued function of a real variable defined as f(x) = x

1.	Let f be a real-valued function of a real variable defined as f(x) = x2 for x ≥ 0, and f(x) = -x2 for x < 0.Which one of the following statements is true?
A.	f(x) is discontinuous at x = 0
B.	f(x) is continuous but not differentiable at x = 0.
C.	f(x) is differentiable but its first derivative is not continuous x = 0.
D.	f(x) is differentiable but its first derivative is not differentiable at x = 0.
Answer» E.

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Let f be a real-valued function of a real variable defined as f(x) = x2 for x ≥ 0, and f(x) = -x2 for x < 0.Which one of the following statements is true?

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