Even and Odd Functions. A Function can be classified as Even, Odd or Neither. This classification can be determined graphically or algebraically.

For each of the following functions, classify each as: even, odd or neither. You must show your work to prove your classification.

Determine algebraically whether each function is even, odd, or neither. SHOW WORK! 1. y = x3 + x. ODD f(x)=-f(x). 3. (-x)² + (-x) = = (x² + x).

Which statement is true about functions f, g, and h? 1) f(x) and g(x) are odd, h(x) is even. 3) f(x) is odd, g(x) is neither, h(x) is even.

Directions: Verify algebraically whether each function is even, odd, or neither! 1. f(x) = x³- 6x. 3. F(-x) = (-x)² -6(-x). 3. -x+6x. Neither- some signs ...

Even functions are symmetric about the y-axis. Graphics remain unchanged when reflected across the y-axis. Graphic 1: Even function y= x4 + x2.

If equation (1) is true, it is an even function, if equation (2), it is an odd function. If neither of them holds, the function is neither even nor odd. f (−x) ...

Even & Odd Functions page 4. Here are the algebraic properties of even and odd functions: EVEN: A function, f(x), is even if f(-x) = f(x) for all domain values.

Use possible symmetry to determine whether each graph is the graph of an even function, an odd function, or a function that is neither even nor odd. Page 9 ...

The document provides examples of verifying if a function is even, odd, or neither algebraically by comparing the functions f(x) and f(-x), or f(x) and -f(x).