# Answer to Question #16607 in Real Analysis for katie

Question #16607

Suppose f is a function such that

f(x) = { x^2, x element Q

0 x element R - Q

Is f continuous at c=0? is f differentiable at c = 0?

f(x) = { x^2, x element Q

0 x element R - Q

Is f continuous at c=0? is f differentiable at c = 0?

Expert's answer

f(x) is discontinuous at all points of R, so it isn't continuous at c=0 and isn't differentiable at c = 0.

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