I learned from this activity what an even and odd function is and what they do. Both functions both have a certain symmetry to them. The picture posted below is what an even function looks like. It has a y- axis symmetry meaning you could fold it in half and have the same thing. This also means that the f(-x)=f(x). The second picture below is an odd function. It has a rotation symmetry which means that it if you rotate the graph 180 degrees it will be the same graph. This also means that f(-x)=-f(x). To find If a function is even you take the original equation something like x^4 and see is (-x^4) is the same with in this case it is. To find an odd function you take the original equation which is x^3-x and see if the f(-x) is equal to the -f(x). the worked out problem is the third picture down. In that case it is an odd function. Some families of functions are always even or odd functions. A cubic function is always going to be an odd function. A quadratic function will always be an even function. The only question I have is there any functions that are not even or odd?
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