From the Even and Odd Functions activity I learned that not all even degree functions are necessarily even functions and not all odd degree functions are necessarily odd function. The rule to determine if a function is even is if and only if it follows the pattern f(-x) = f(x). The rule to determine if it is odd is that it has to follow f(-x) = -f(x). They are similar because they both have some symmetry to their graphs and show a pattern. They are different because odd functions y values change sign while even functions do not. You check if a function is odd by putting a negative x into the equation and seeing the outcome if it is the same as f(x) it is even if it is the same as –f(x) it is odd. If a function is quadratic it will always be even. But there is no always odd function group. I would like a little more clarification on what functions belong to which groups; it's still a little fuzzy.
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September 2015
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