A Function can be classified as Even, Odd or Neither. This classification can be determined graphically or algebraically. Have a graph that is symmetric with respect to the Y-Axis. Have a graph that is symmetric with respect to the Origin. Origin – If you spin the picture upside down about the Origin, the graph looks the same!

F.BF.B.3: Even and Odd Functions 1 Functions f, g, and h are given below. f(x) =sin(2x) g(x) =f(x) +1 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. 2) f(x) and g(x) are even, h(x) is odd. 4) f(x) is even, g(x) is neither, h(x) is odd.

For each of the following functions, classify each as: even, odd or neither. You must show your work to prove your classification. If you are experiencing difficulty, contact your teacher. f ( x ) ≠ f ( − x ) ≠ − f ( x ) ∴ f ( x ) is neither. ∴ f ( x ) is odd. ( x ) = f ( − x ) ∴ f ( x ) is even.

2013年11月7日 · If the graph of a function f is symmetric with respect to the origin, we say that it is an odd function . That is, for each x in the domain of f, fx fx(!)= ! ( ). 1. Indicate which of the following functions are even, which are odd, and which are neither. 2. Algebraically, determine whether each function is odd, even, or neither.

These worksheets will give students an opportunity to explore various examples to understand the concept and learn how to decide whether a function is even, odd, or neither, both from a graph of the function and from its rule.

Part 1: Odd or Even functions SOLUTIONS a) If a function is even then f(-x) = f(x) The function is symmetrical about the y-axis. b) If a function is odd then f(-x) = -f(x) The function is symmetrical about the origin. c) If a function is neither odd nor even then f(-x) ≠ f(x) and f(-x) ≠ –f(x)

Direction: Determine algebraically if the given function is even, odd or neither. Show all your work in the space provided.

1) Introducing concept of odd/even function 2) Students learn how to differentiate odd/ even function analytically and graphically. 3) Understand the concept of drawing function graphics.

* Functions of the form y = xn where n is an even integer are even functions. Examples: y = x 2 , y = x 8 and y = x - 4 are even functions. * Functions of the form y = x n and y = x 1/n where n is an odd integer are odd functions.

How are even and odd functions alike? How are they different? Tell whether the function is odd, even, or neither. Explain your answer. Both functions have graphs that are symmetrical. Even functions have the y-axis [1] Odd functions have the origin as a point of symmetry. as a line of symmetry. [2] Odd.