called "even" functions because the functions x2, x4, x6, x8, etc behave like that, but there are other functions that behave like that too, such as cos(x Cosine function: f(x) cos(x it is an even function, but an even exponent does not always.

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They got called "odd" because the functions x, x3, x5, x7, etc behave like that, but there are other functions that behave like that, too, such as sin(x) : Sine function: f(x) sin(x it badstugata oslo is an odd function, but an odd exponent does not always. Multiplying: The product of two even functions is an even function. Don't be misled by the names "odd" and "even". The product of an even function and an odd function is an odd function. They are just names. A function is "odd" when: f(x) f(x) for all x, note the minus in front of f(x f(x). Let's see what happens when we substitute x : f(x) (x x)21) x x21) f(x) So f(x) f(x), which makes it an Odd Function Even and Odd The only function that is even and odd is f(x) 0 Special Properties Adding: The sum of two.