1. Definition: Even Function
A function that is symmetric about the y- axis.
Algebraically:
If f(x)= f(-x) the function is even

2. Definition: Odd Function
A function that is symmetric about the origin.
Algebraically:
If f(-x)= -f(x) the function is odd

3. How to determine whether a function is even or odd given an equation.
If all the exponents are even the function is even.
Ex:
If all the exponents are odd the function is odd.
Ex:
Neither even or odd. (mixed exponents)
Ex:

4. How to determine whether a function is even or odd given a table.
When the input values are opposites and the output values are the same the function is even. x -4 -3 -2 -1 1 2 3 4 y 17 10 5
When the input values are opposites and the output values are opposites the function is odd. x -4 -3 -2 -1 1 2 3 4 y -8 -6 6 8
This function is neither even or odd. x -4 -3 -2 -1 1 2 3 4 y -5