Even and odd functions are similar in some ways, but there are also a few ways they differ. They're similar because they both require the f(x) formula to equal the f(-x) formula, but different because the f(x) function of an odd formula must also equal the -f(x) function of the equation. To check to see if a function is even, you must find the formula for f(-x). If they match, the function is even. If the functions do not match, you can use the f(-x) function to see if it matches the -f(x) function of the original f(x) function. If the f(-x) and -f(x) functions match, the function is odd. If the f(x) and f(-x) functions or the f(-x) and -f(x) functions don't match, then the f(x) function is neither even nor odd. Even function graphs are always symmetrical over the vertical (y) axis, and odd function graphs are always symmetrical over the origin. I'm not sure if there are any families of functions that are always even or odd, so that is the question I have about this assignment.
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Kayla CampbellArchives
November 2017
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