This is the second of two lessons where students learn to identify odd and even functions. In this lesson, the focus is on equations and justifying whether a function is even, odd, or neither, using only the equation. This lesson also marks a transition to working primarily with functions written in terms of and not in terms of another function.

As students complete the graphs of an even function, an odd function, and a function that is neither, they are given an opportunity to make use of structure as (MP7). They also learn to use an input of when determining if a function is even, odd, or neither from the structure of its equation. Then, as students take turns explaining how they can tell whether a function is even, odd, or neither, they make arguments and critique the arguments of others (MP3).

Technology isn't required for this lesson, but there are opportunities for students to choose to use appropriate technology to solve problems. We recommend making technology available.