I learned a lot from this activity. First and foremost, I learned that there are even such things as "even and odd" functions. I also learned how to tell which is which and the best ways to check my graphs. Even and odd functions are similar in the sense that they both must have two components that equal an identical amount. Some differences however are that to be even a function's f(x) must be equal to f(-x) and to be odd a function's f(-x) must be equal to -f(x). While an even function's graph looks like a mirror image across the y-axis, an odd one will look like a reflection; it will be the same but exactly opposite across the y-axis. To check whether a function is even or odd, simply do the operations that I have listed off above. Some function families that are even are parabolas and lines, and one that is odd is the cubed root function family. My biggest question for this section is if there is any easier way to remember that to find if a function is odd you DON'T use the standard f(x) when comparing variations of the function.
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AuthorPeri Sanderson is a Pre Calc student at MPHS Archives
November 2017
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