MAT - Paper 2018 - Q1J


Flashcards

Symmetry of p(x) + p(y) = 0

If

\[p(x) + p(y) = 0\]

what must be true about the coordinate $(a, b)$?

$(b,a)$ must also be on the graph.

If the graph equation forming the graph is of the form

\[p(x) + p(y) = 0\]

then why isn’t this valid?

Because $p(x) + p(y)$ is the same as $p(y) + p(x)$, it should imply reflectional symmetry but there is none.