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*,* k**f*(*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.

Even and Odd Functions from the Wolfram Demonstrations Project by Michael Schreiber

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

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