# Calculus

**Calculus**Level 3

The function \(f\) is defined by \(y = f(x) \), where \( x =2t - |t|\) and \( y = t^2 + t | t| \) for \(t\in \mathbb R\).

Is \(f(x)\) continuous and/or differentiable at \(x=0 \)?

The function \(f\) is defined by \(y = f(x) \), where \( x =2t - |t|\) and \( y = t^2 + t | t| \) for \(t\in \mathbb R\).

Is \(f(x)\) continuous and/or differentiable at \(x=0 \)?

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