find another point based of of one that may be even, or odd.

Question

If the point (-2,1) is on the graph of f(x) and f(x) is known to be odd,, what other point must be on the graph of f(x)

Can you explain this to me instead of just giving an answer

Answer 1

An odd function satisfies the relation

f(-x) = -f(x)

Given that

f(-2 )= 1,

then it must also be true that

f(2) = -f(-2) = -1,

so the point (2,-1) must also be on the graph.