In this lesson i learned the difference between even and odd functions. They are similar because they will both use symmetry, but they are different because they will both be reflected on different axis's , one on the x and one on the y. You would check to see if it's an even or odd by looking at what axis they reflect over, even's being over the x and odds over the y. Another way to check for an even would be to know that every function must have the characteristic that for every -x value, f(-x)=f(x), and if that's not true it wouldn't be even. And for the odds it would have to be for every -x value f(-x)= -f(x). The family of functions that would always be even would be the x to the power family, and there isn't a family that is always odd. Some questions that i still have would be is there a way to know if a function is odd without graphing it?
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November 2014
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