Even and odd functions are similar because they both are symmetrical in some way. But they are not symmetrical in the same way. Even functions are symmetrical with the y-axis and odd functions are symmetrical with the origin of the graph (flip over y and then x.) Also ,for even functions for every -x value f(-x)=f(x), if that is true for the function that means it is a even function. But for odd functions for every -x value f(-x)=-f(x). If those are true for the functions then they are odd. To check if a function is even or odd use for every -x value f(-x)=f(x) for even functions. And use for every -x value f(-x)=-f(x) to check if it is an odd function. No, there is not always a family of functions that are always even, though parabolas are almost always even unless you move it the the right or left. No, there are not any families of functions that are always odd, but some are more consistently odd then others. I still could use some practice verifying that a function is even or odd.
The type of function that it appears to be is a exponential growth function. The domain of the function is all real numbers. The range of the function is f(x) is greater than .4.
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AuthorWrite something about yourself. No need to be fancy, just an overview. Archives
November 2015
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