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Probably because polynomials and convergent power series in which all terms have even degree are even functions, and similarly for odd.

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8y ago
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11y ago

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.

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Q: Why are functions called odd or even?
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Related questions

Is f of x equal to negative x an even or odd function?

It is an odd function. Even functions use the y-axis like a mirror, and odd functions have half-circle rotational symmetry.


Can a function be both even and odd functions?

yes


What is the difference of odd and even functions?

An even function is symmetric about the y-axis. An odd function is anti-symmetric.


When do you use even odd and neither functions?

Basically, a knowledge of even and odd functions can simplify certain calculations. One place where they frequently appear is when using trigonometric functions - for example, the sine function is odd, while the cosine function is even.


What the pattern called even odd numbers?

There is no such pattern because there are no even odd numbers. Odd numbers, by definition, are odd and therefore, not even.


Is 732 odd or even?

Only integers are called odd or even. 7.32 is not an integer, therefore it is neither odd nor even.


What are even and odd functions?

An even function is a function that creates symmetry across the y-axis. An odd function is a function that creates origin symmetry.


6.87 is even or odd?

Only integers are called "odd" or "even." 6.87 is not an integer, hence it is neither odd nor even.


Is sine-30 equal to -sine30?

Yes. It is one of the trigonometric functions called ODD functions, wherein: f(-x) = - f(x) On the other hand, for EVEN functions, like the cosine function: f(-x) = f(x)


Why is the secant function is an even function and the tangent and cosecant are odd functions?

I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.


Is the sine functions an odd function?

Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.


What is a difference between odd parity and even parity?

in even parity number of 1s is even called even parityand or number of 1s is odd called odd parity anil kuntal anil kuntal you suck