# 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 are functions called odd or even?

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

### When do you use even odd and neither functions?

You use an even function if f(-x) = f(x) for all x.You use an odd function if f(-x) = -f(x) for all x. and you use neither if there is at least one point for which one or the other of the above is not true. Most functions are neither even nor odd.

### 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.

### What is the difference of odd and even functions?

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

### 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… Read More

### Is the sine functions an odd function?

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

### If you add 3 to an even number the sum would be odd or even?

Odd. Even + Even = Even Odd + Odd = Even Odd + Even = Even + Odd = Odd

### When you add to even numbers is the answer always even?

Yes. Even + Even = Even, Odd + Odd = Even and Even + Odd or Odd + Even = Odd

### Does multiplying an odd number by an even number give an even answer?

odd * odd = odd answer even * even = even answer odd * even = even answer

### Can properties of a function be discovered from its Maclaurin series Give examples.?

Best example is that an "odd" (or "even") function's Maclaurin series only has terms with odd (or even) powers. cos(x) and sin(x) are examples of odd and even functions with easy to calculate Maclaurin series.

### What happens when you add two even numbers Will you get an even number?

Always. even + even = even odd + odd = even even + odd = odd odd + even = odd To summarise, if you add like numbers you get even, otherwise you get odd.

### Is the sum of an odd number and an even number always even?

No. Sum of odd + odd = even Sum of odd + even = odd Sum of even + even = even

### What is the result of product of even numbers and odd numbers?

Even x even = even Odd x odd = odd Even x odd = even

### What are 5 odd numbers added up that equal up to 20?

There is no such combination to form an even no. 20 by combing 5 odd nos. as odd+odd=even even +even=even odd+even=odd even+odd=odd adding 5 odd like

### Would an even plus and even equal an even?

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

### Can 5 odd numbers that if you add them make 32?

No. The sum of two odd numbers or two even numbers is an even number. The sum of an even number and an odd number is an odd number. The sum of 5 odd numbers is: ((odd + odd) + (odd + odd)) + odd = (even + even) + odd = even + odd = odd But 32 is an even number, therefore it cannot be the sum of 5 odd numbers.

### If you add an odd and even number will the answer always be even?

opposite - answer will always be odd (when adding odd + even) odd + even 5 + 4 = 9 odd even + even 2 + 6 = 8 even odd + odd 3 + 1 = 4 even

### Why are all multiples of 3 odd and even?

The multiples of all odd numbers are odd and even. Odd x odd = odd. Odd x even = even. Since odd and even numbers alternate, the multiples will alternate as well.

### What are the seven types of function?

There are infinitely many types of functions. For example: Discrete function, Continuous functions, Differentiable functions, Monotonic functions, Odd functions, Even functions, Invertible functions. Another way of classifying them gives: Logarithmic functions, Inverse functions, Algebraic functions, Trigonometric functions, Exponential functions, Hyperbolic functions.

### How can you divide oddly 18 cows in 9 parts?

Here is one possible way: 2 * 1.25 2 * 1.5 5 * 2.5 It is a very odd way of doing it because, in so doing, none of the cows will remain alive. Suppose you could partition the 18 cows into 9 odd groups. Now, Odd + Odd = Even Even + Even = Even and Even + Odd = Odd So, Odd + Odd + Odd + Odd + Odd + Odd +… Read More

### Do an odd and an odd equal an odd?

No -an odd and an odd equals even ( 5+3=8) -an even and an odd equals odd (2+3=5) -an even and an even equals even (4+6=10)

### To calculate odd and even parities which functions can be used?

could you be clear? what kind of functions you are asking? functions available in C, C++, java ? in C you can use mod() function or "%" operator to find the parities.

### Why even number squared will be even?

because that's the theory of maths even x even = even even x odd = odd even + even = even even + odd = odd

### How will you put twentyone marbles in four boxes using odd number without repetition?

it's impossible because the sum of any two odd numbers equals an even number; odd# + odd# = even#. even# +even# = even#. odd# + odd# + odd# + odd# = even#.

### Why can't you get an even number when you add three odd numbers?

because... odd+odd=even even+odd=odd e.g 1+1+1=3 odd+odd+odd=odd

### Will the sum of three odd numbers be even or odd?

odd. odd=odd odd+odd=even odd+odd+odd=odd it keeps alternating in that fashion

### Which ones even and which ones odd?

The odd one out makes the even one in making the odd and even even one odd until the even ones are odd including the ones that aren't even

### How do you make a program in Visual studio To know the number whether its Even or Odd?

There are built in functions in various languages in Visual Studio to check if a number is Even or Odd such as IsOdd() or IsEven(). But in the absence of such built in function, you can find the Modulo 2 of the given number and if the remainder is zero you can surmise that the original number was even. If not it would be odd.

### Is the fives odd or even?

When it ends in a five it is odd... When it ends in a zero it is even. 5 Odd 10 Even 15 Odd 20 Even 25 Odd etc...

### How can you determine whether the sum of several numbers such as 13 plus 45 plus 24 plus 17 is even or odd without actually calculating the sum?

Even plus even equals even. Odd plus odd equals odd. Odd plus even equals odd. 13 + 45 (odd plus odd) will be even. Even plus 24 will be even. Even plus 17will be odd. 13 + 45 + 24 + 17 will be odd.

### What is the difference between even and odd polynomial functions?

Even polynomial functions have f(x) = f(-x). For example, if f(x) = x^2, then f(-x) = (-x)^2 which is x^2. therefore it is even. Odd polynomial functions occur when f(x)= -f(x). For example, f(x) = x^3 + x f(-x) = (-x)^3 + (-x) f(-x) = -x^3 - x f(-x) = -(x^3 + x) Therefore, f(-x) = -f(x) It is odd

### Why even divided by odd equal even?

Odd numbers do NOT have a factor of 2. When an Even number is divided by an Odd number with no remainder, the prime factors of the divisor cancel out the prime factors of the dividend, but there will be no prime 2 to cancel the prime factor of 2 in the dividend leaving the the quotient to have a factor of 2, and so will be Even. --------------------------------------------------------- Alternatively, consider what happens when you… Read More

### Well you get a number say 16 divide it by 3 if the answer is an even number then that is the rule?

No that is not the rule because the rule is: Odd divided by even =EVEN Even divided by odd = ODD Even divided by even =EVEN Odd divided by odd = ODD Everyone that is the rule so when you get 16/3 the answer is an odd leaving 5r1.

### Can the sum of odd number be odd?

If you're adding an odd number of numbers, if two are even and one is odd, you will get an odd number as a result. Three odds are odd. If two are odd and one is even, you have an even result. Three evens are even.

### How could you determine whether a sum of numbers such as 127 plus 38 is even or odd?

The parity rules are: Odd + Odd = Even Even + Even = Even Odd + Even = Odd Even + Odd = Odd So the parity where one number is even is that of the other number. This means that you can go through a list of numbers and ignore all the even numbers. Every PAIR of odd numbers has even parity and by the previous paragraph, even parity can be ignored. So you… Read More

### What is the ratio of odd Fibonacci numbers to even Fibonacci numbers?

The ratio is 1:2. For every even number there are 2 odd numbers. Fibonacci Series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... which is even, odd, odd, even, odd, odd, even, odd, odd, even, ... the pattern continues

### If the sum of two numbers is even then the two numbers must be even?

If the sum of two numbers is even, the two numbers are either both even or both odd. A few examples: 2 + 4 = 6 (even + even = even) 2 + 3 = 5 (even + odd = odd) 5 + 2 = 7 (odd + even = odd) 7+13 = 20 (odd + odd = 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.

### Why when you multiply an odd number with another odd number the result is a odd number?

yes, the product of 2 odd numbers is always an odd number. Well, the question is why. The first number is "even" + 1. Multiply both of these by your odd number. Now the "even" times "odd" is even, because every "1" in the odd number becomes a "2". And then the remaining 1 times "odd" must be odd, which is an even +1. Add it all up and you get evens everywhere except that… Read More

### What even numbers can you add to get an odd?

no even # + another even # will get you an odd #