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Maths SL Type I Portfolio TOPIC: Odd & Even Functions. AIM: To investigate the symmetry of odd and even functions. AUTHOR: Aleksandra Rodzik Certain functions are classified as "odd" or "even" functions on the basis of their symmetry in the Cartesian coordinate plane and corresponding algebraic properties. The purpose of this investigation is to explore the characteristics of these functions and transformations of these functions. Algebraically, even and odd functions are defined as follows: - An even function is defined as a function for which . - An odd function is defined as a function for which . Each elementary function can be classified as odd, even or neither. This is illustrated by some examples below. even odd neither f (x) = x2 f (x) = x3 f (x) = x f (x) = 1 f (x) = 2x To verify whether a given function is even, odd or neither, you have to plug -x for x and simplify. If the result obtained is exactly the same as...

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