Even and Odd Functions
Videos and lessons with examples and solutions to help High School students to identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Includes recognizing even and odd functions from their graphs and algebraic expressions for them.
Common Core: HSF-BF.B.3
Introduction to Odd and Even Functions
This video defines odd and even functions and provides 2 basic examples of odd and even functions.
Even Functions
• f(x) = f(-x)
• The graph is symmetrical across the y-axis
• A polynomial function will have all even exponents
Odd Functions
• -f(x) = f(-x)
• The graph has rotational symmetry about the origin
• A polynomial function will have all odd exponents.
Ex 1: Determine if a Function is Odd, Even, or Neither
This video provides two examples of determining graphically and algebraically if a function is odd or even or neither.
Ex 2: Determine if a Function is Odd, Even, or Neither
This video provides two examples of determining graphically and algebraically if a function is odd or even or neither.
Determine if a function is even, odd, or neither.
Determine if a function is even, odd, or neither. Mostly algebraic with two basic graphic examples.
Even and Odd Functions
How to determine if a function is even, odd, or neither.
Recognizing Odd and Even Functions.
Connection between even and odd numbers and functions.
Wolfram Even Odd Functions
This Demonstration allows you to look at the different types of even and odd functions.
Even functions: constant, absolute, consine, quadratic (square), exponential
Odd functions: identity, cube, sine, tangent.
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