During this activity, I learned the difference between even and odd functions. Even functions are symmetrical across the y-axis and odd functions are symmetrical across the origin (which is also the same as rotating the graph 180 degrees). Even and odd functions are the same because they both have symmetry on the graph, they are different by the way they are reflected about the graph. You can check to see if a function is even or odd by changing the function to it's opposite and solving to see if you get the same result as the original equation. There isn't a specific family of functions that are always even or always odd, however, for example, parabolas are almost always going to be symmetrical unless they are moved about the x or y axis. I am still struggling with how to solve or prove that a function is even or odd. The f(x) functions throw me off. Especially when you have to make it negative, for example when the function looks like f(-x), or -f(x).
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