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

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Q: Is f of x equal to negative x an even or odd function?
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How would you explain to a seventh grader the difference between the domains of an odd root radical function and an even root radical function?

To start with, when you multiply an even number of negative numbers, the answer is positive. When you multiply an odd number of negative numbers, the answer is negative. When you multiply any number of positive numbers, the answer is always positive. For positive numbers, the value of a power is always positive. For negative numbers, the value of an odd power is negative, and the value of an even power is positive. Finding roots is the inverse of taking powers, so that an odd-root function can be evaluated for any value of x. An even-root function, however, cannot be evaluated when the value of x is negative, since an even power can never result in a negative answer. The domain of an odd root function is all real numbers; the domain of an even root function is the non-negative real numbers.


Why you use even and odd function in mathematics?

If you know that a function is even (or odd), it may simplify the analysis of the function, for several purposes. One example is the calculation of definite integrals: for an odd function, the integral of a function from (-x) to (x) (note 1) is zero; for an even function, this integral is twice the integral of the function from (0) to (x). Note 1: That is, the area under the function; for negative values, this "area" is taken as negative) is


Why is an odd number minus an odd number equal a even number?

The negative number (-x) is first entered, then the rest. -x -(-y) When you subtract a negative, the minus and the negative cancel out, meaning you add.


What is odd even equal?

odd even witch is terms for odd times even equals even


Would an even plus and even equal an even?

Yes it would Even + even = even Even + odd = odd Odd + odd = even

Related questions

How would you explain to a seventh grader the difference between the domains of an odd root radical function and an even root radical function?

To start with, when you multiply an even number of negative numbers, the answer is positive. When you multiply an odd number of negative numbers, the answer is negative. When you multiply any number of positive numbers, the answer is always positive. For positive numbers, the value of a power is always positive. For negative numbers, the value of an odd power is negative, and the value of an even power is positive. Finding roots is the inverse of taking powers, so that an odd-root function can be evaluated for any value of x. An even-root function, however, cannot be evaluated when the value of x is negative, since an even power can never result in a negative answer. The domain of an odd root function is all real numbers; the domain of an even root function is the non-negative real numbers.


Why you use even and odd function in mathematics?

If you know that a function is even (or odd), it may simplify the analysis of the function, for several purposes. One example is the calculation of definite integrals: for an odd function, the integral of a function from (-x) to (x) (note 1) is zero; for an even function, this integral is twice the integral of the function from (0) to (x). Note 1: That is, the area under the function; for negative values, this "area" is taken as negative) is


Is a decimal and negative numbers odd or even?

Decimal are not. But negative numbers can be odd or even.


Why is an odd number minus an odd number equal a even number?

The negative number (-x) is first entered, then the rest. -x -(-y) When you subtract a negative, the minus and the negative cancel out, meaning you add.


What two odd numbers don't add up to an even number?

Unless this is a trick question, none of them do. Zero is an even number, so therefore no positive odd number and negative equivalent will add to form an odd number. Similarly, negative odd numbers will add to form negative even numbers, and positive odd numbers will add to equal positive even numbers. Somebody please inform me if I'm missing something simple here.


What is even times even equal?

even times even = even odd times odd = odd even times odd = even


Why does negative one to the fourth power equal negative one?

It doesn't. Negative one to an even power equals positive one. Negative one to an odd power equals negative one.


What is odd even equal?

odd even witch is terms for odd times even equals even


Would an even plus and even equal an even?

Yes it would Even + even = even Even + odd = odd Odd + odd = even


What is the sign of the product of an odd number of negative factors?

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.


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.