The function f(x) = |x| at x = 0 is
Acontinuous but not differentiable
Bneither continuous nor differentiable
Cdifferentiable with derivative 1
Ddifferentiable with derivative 0
Answer & Solution
Correct answer: A. continuous but not differentiable
The left slope is -1 and the right slope is +1, so no derivative exists although the function is continuous.
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