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  anchorContext: 'We can think about evenness and oddness in terms of group theory as follows\\. There is a group called the cyclic group $C_2$ of order $2$ acting on all functions\\. It has elements which we might call $1$ and $-1$\\. $1$ is the identity element: it sends a function to itself\\. $-1$ sends a function $f(x)$ to the function $f(-x)$, which visually corresponds to reflecting the graph of $f(x)$ through the y\\-axis\\. The group multiplication is what the names of the group elements suggests, and in particular $(-1) \\times (-1) = 1$, which corresponds to the fact that $f(-(-x)) = f(x)$\\. ',
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