Introduction
Looking at the title of this lesson, you might be wondering, "How can a function be even or odd?" This is a great question! This lesson will teach you how to identify if a function is even, odd, or neither. And here is a hint: it is not as easy as looking to see if the function has even or odd numbers.
In this lesson, you will work with functions you have previously studied, such as the cube root function, the quadratic function, and the absolute value function to determine if they are even, odd, or neither. You will explore this both graphically (visually with a graph) and algebraically (with the equation).
Following successful completion of this lesson, students will be able to...
- Identify and describe even and odd functions from their graphs and algebraic expressions for them.
Enduring Understandings
- Graphs are visual representations of solution sets of equations and inequalities.
- There is a root that corresponds to every power.
- Radical expressions may be combined using Properties of Real Numbers.
- Characteristics of radical and rational exponent expression as well as their representations are useful in solving real-world problems.
The above objectives correspond with the Alabama Course of Study: Algebra II with Statistics standards: 34.