AI Tutor

Continuity

No breaks — and intermediate values · BC Calculus · greeting

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Owl · Mock interview — Continuity. I ask; you answer.

Owl · Careful though: a sharp corner on a graph can still be continuous. Continuity is not the same as differentiability. Where should we start — checking a point, or classifying whole graphs?

Larry’s gold answer — Show text to read it out loud.

Larry · gold answer · I'd start by checking points: lim x→a f(x) exists, f(a) exists, and they match. Then zoom out to whole-interval pictures.

Owl: Careful though: a sharp corner on a graph can still be continuous. Continuity is not the same as differentiability. Where should we start — checking a point, or classifying whole graphs?

You: —