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Year 11 (2026) Maths Advanced (2026) Piecewise Functions, Continuity and Absolute Value

Continuity and Limits

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Question 1
32692

Sketch the function \(f(x) = x^2 - 4\) in the domain \(-3 \le x \le 3\). State whether this function is continuous or discontinuous, giving reasons.

Continuous: a polynomial has no breaks, holes or asymptotes. Graph: see worked solution.

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