Elementary questions about functions, notation, properties, and operations such as function composition.
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functionStats
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Let $f :\mathbb{R}→ \mathbb{R}$ be a function such that $f^2$ and $f^3$ are differentiable. Is $f$ differentiable?Function such that $f(x) = -1$ for $x < 0,$ and $f(x)=1$ for $x > 0$?
Are the graphs of these two functions equal to each other?
Why is it important to have a discrepancy between image and codomain?
Why is it important to have a discrepancy between image and codomain?
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