# 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 $$x=0$$?

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