Question

Find the coordinates of a second point on the graph of a function f if givin the point is on the graph and the function is (a) even and b (odd).

(4, 9)

Answer 1

For even functions, f(x) = f(-x)
i.e. f(4) = f(-4)
Therefore, a second point is (-4, 9)

For odd functions, f(x) = -f(x)
i.e. f(4) = -f(4)
Therefore, a second point is (4, -9)