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Home › CBSE Class 12 (Commerce) › Mathematics › Continuity and Differentiability › f(x) = x^2 + 1 for x < 1 and 3x - 1 for x >= 1: …

f(x) = x^2 + 1 for x < 1 and 3x - 1 for x >= 1: at x = 1, f is what?

Adifferentiable but not continuous
Bdiscontinuous at that point
Ccontinuous but not differentiable
Dboth continuous and differentiable
Answer & Solution
Correct answer: C. continuous but not differentiable
Both sides give the value 2, but the left slope is 2 while the right slope is 3, so there is a corner.
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