1. 1-2 Day Two Even/Odd Functions

2. Symmetry y-axis if (x,y) is on the graph, so is (-x,y) x-axis
Origin
if (x, y) is on the graph, so is (-x, -y)
give an example

3. Even/Odd Functions
A function with y-axis symmetry is considered EVEN. (Can you guess why?)
A function with symmetry about the origin is considered ODD. (Why?)
A function cannot have x-axis symmetry. (Why?)

4. Odd or even? y = x2 + 4 y = x2 + 2x + 1 y = x3 – 4x y = x3 – 1
Use the graph and specific points to convince yourself. Then prove algebraically.
Can a function be both even and odd? Neither?
Do you see any patterns/shortcuts?