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A map is x^2 up to 1 and 2x - 1 beyond; how does it behave at 1?
Acontinuous but not differentiable
Bdifferentiable but not continuous
Cboth continuous and differentiable
Ddiscontinuous at that point
Answer & Solution
Correct answer: C. both continuous and differentiable
Both pieces equal 1 at x = 1 and both have slope 2 there, so the function is smooth at that point.
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