Even and Odd Functions

Even Functions

Even Functions are defined as having the same output (Y) for both inputs values of (X) and (-X). Algebraically, an EVEN function can be defined as f(-x)= f(-x). When plotted on the graph, certain points such as (x,y) and (-x,y) are going to be reflections of eachother about the y-axis. Therefore Quadrant 1 would be symmetrical to quadrant 2 and quadrant 3 would be symmetrical to quadrant 4. For example:

Odd Functions

Odd Functions are defined as having symmetry along the origin. Its easily known as the mirror image along the origin. Algebraically, an ODD function is defined as f(-x)= -f(x). If a set of points were to be graphed only on the 1st quadrant, the mirror image of the points, reffering to odd functions, would be on the 3rd quadrant and vice versa, while the reflection of Quadrant 2 is quadrant 4 and vice versa. For example:

SORRY ITS SO LATE!!! I HAD NO COMPUTER TO DO IT ON UNTIL 2DAY......