Question
Let $f(x)= \begin{cases}x+x^{2} & : 0 \leq x<3 \\ x+x & : & 3<x \leq 5\end{cases}$Then find its even and odd extension.
Step 1
An even function is symmetric about the y-axis, meaning that f(x) = f(-x) for all x in the domain of f. An odd function is symmetric about the origin, meaning that f(-x) = -f(x) for all x in the domain of f. Show more…
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