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The function f(x) = |x| at x = 0 is best described as which of these?
AContinuous but not differentiable
BDiscontinuous and not differentiable
CContinuous and differentiable
DDifferentiable but not continuous
Answer & Solution
Correct answer: A. Continuous but not differentiable
The left slope is -1 and the right slope is +1, so no derivative exists, yet the graph has no break.
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