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.

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

Even and Odd Functions. Terminology. Definition. Illustration. Type of symmetry of graph f is an even function. ( ). ( ). f x f x. = − for every x in the domain.

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.

It is useful to be able to tell whether the graph of a function has symmetry before we plot it. This saves us work when we do graph the function.

For each of the following problems, decide whether the solutions to the equation constitute an odd function, an even function, neither, or both. 13. x4 = y4. 14 ...

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).

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) ...

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.