Given a portion of the graph of $f(x)$ at right: .

1. Sketch the rest of $f(x)$ if $f(x)$ is even and find $A(f, -3 ≤ x ≤ 3)$.

   Hint (a):

   If a function is even, it is symmetric about the $y$-axis.

2. Sketch the rest of $f(x)$ if $f(x)$ is odd and find $A(f, -3 ≤ x ≤ 3)$.

   Hint (b):

   If a function is odd, it also has $180°$ rotational symmetry about the origin.

   Answer (b):

   Because of the symmetry of the areas, $A(f, -3 ≤ x ≤ 3) = 0$.