# How do you tell if a function is even or odd?

You can tell if a function is even or odd by looking at its graph.

If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx

If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2

### How do you determine if a function is even or odd?

You can tell if a function is even or odd by looking at its graph. If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce… Read More

### 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. Read More

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

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

### 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. Read More

### Can a function be both even and odd?

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. A function can be either. Read More

### How can you determine whether a function is even odd or neither?

Looking at the graph of the function can give you a good idea. However, to actually prove that it is even or odd may be more complicated. Using the definition of "even" and "odd", for an even function, you have to prove that f(x) = f(-x) for all values of "x"; and for an odd function, you have to prove that f(x) = -f(-x) for all values of "x". Read More

### What is the composition of an even and an odd function?

For an even function, f(-x) = f(x) for all x. For an odd function, f(-x) = -f(x) for all x. Read More

### Is A function with a graph that is symmetric about the origin an even function?

An even function is symmetric about the y-axis. If a function is symmetric about the origin, it is odd. Read More

### 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. Read More

### How can you tell if a number is even or odd?

you can tell cause odd numbers have something left over Read More

### 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. Read More

### 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… Read More

### How can you tell wether a number is even or odd?

You can tell whether a number is even or odd by dividing by two. If the result is an integer, then then number was even.(lol no offence but its kinda easy) Read More

### How can you tell when a number is a even or odd?

it is a even number it ends in 0,2,4,6 or 8 when it is odd it ends in 1,3,5,7 or 9 Read More

### How can you tell if the sum of 13 plus 45 plus 24 plus 17 is even or odd?

If the number (count) of odd values to sum is odd, then the answer is odd. If the number (count) of odd values to sum is even, then the answer is even. Read More

### Is signam function even or odd and why?

I have no idea about the signam function. The signum function is odd because sgn(-x) = -sgn(x). Read More

### How a function is even and odd?

The only way a function can be both even and odd is for it to ignore the input, i.e. for it to be a constant function. e.g. f(x)=4 is both even and odd. An even function is one where f(x)=f(-x), and an odd one is where -f(x)=f(-x). This doesn't make sense. Let's analyze. For a function to be even, f(-x)=f(x). For a function to be odd, f(-x)=-f(x). In this case, f(x)=4, and f(-x)=4. As such… Read More

### How can you tell whether the product of an addition problem will be odd or even?

whenever you add an even number the answer will be the same (odd/even) as the other number Read More

### Is the product even or odd?

Without knowing what the product is, it will be difficult to help. Presumably, you can tell the difference between even and odd numbers. If you are trying to predict, the product of two evens is even, the product of two odds is odd and the product of an even and an odd is even. Read More

### Is it true or false that the cosine function is an odd function?

False; the cosine function is an even function as cos(-x) = -cos(x). Read More

### How can you tell whether the product of a multiplication problem will be odd or even?

You can tell it will be even when the number you are multiplying has a 2 4 6 8. You can tell it will be odd when the number you are multiplying has a 1 3 5 7. Read More

### How can you tell if a number is odd or even?

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

### Is Y equals 0 an even or odd function?

f(x) = 0 is a constant function. This particular constant function is both even and odd. Requirements for an even function: f(x) = f(-x) Geometrically, the graph of an even function is symmetric with respect to the y-axis The graph of a constant function is a horizontal line and will be symmetric with respect to the y-axis. y=0 or f(x)=0 is a constant function which is symmetric with respect to the y-axis. Requirements for an… Read More

### Is 50 odd or even and tell why?

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 50 is an even number. Read More

### Take a number tell is it even or odd?

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

### Take a number and tell is it even or odd?

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

### How can your tell whether a number is even or odd?

### How do you create an odd or even script using PHP?

To determine whether a given number is odd or even: function odd_even($i) { return ($i % 2 == 0 ? 'even' : 'odd'); } Read More

### 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… Read More

### Is 240 odd?

No, 240 is an even number. You can always tell an even number because it can be divided by 2 equally. Odd numbers such as "7" cannot. Read More

### How do you determine if a function is even?

A function f(x) is Even, if f(x) = f(-x) Odd, if f(x) = -f(-x) Read More

### How could you use prime factorization to tell whether a number is even or odd?

its easy to tell that if the last number ends with 0,2,4,6,8,10,12,14,16,18,20 so on and so on then its even if the answer starts with a 1,3,5,7,9,11,13,15,17,19 so on so on then its an odd number Read More

### Can you tell a prime or composite number by seeing if its odd or even?

You cannot. If a number is even - other than 2 - then it is a composite number. However, if it is odd, it is not easily possible to tell whether it is prime or composite. Read More

### Is fx equals c an even or odd function?

Even (unless c = 0 in which case it is either or both!) Read More

### 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 Read More

### Is 35 even?

No, you can tell by looking at the final number. If it is even, then the whole thing is even. If it's odd, then the whole thing is odd. The odd numbers are 1,3,5,7,9 the even numbers are 2,4,6,8 (if a number ends in 0 it is even, but 0 itself is debated over whether or not it's even) Read More

### 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 Read More

### 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 Read More

### 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. Read More

### What is even and odd wave function?

A basic wave function is a sine or cosine function whose amplitude may have a value other than 1. The cosine function is an even function because it is symmetrical about the y-axis. That is, f(-x) = f(x) for all x. The sine function is an odd function because it is antisymmetrical about the y-axis. That is, f(-x) = -f(x) for all x. Read More

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

Even x even = even Odd x odd = odd Even x odd = even Read More

### 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. Read More

### 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 Read More

### 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. Read More