# Does the graph of and odd function have to contain the origin?

No function ever really has to contain the origin if you constrain the domain to not include zero. Another way would be to just start graphing at x=1 and continue increasing x. In fact, you don't even have to graph at all since an odd function is defined as f(x) + f(-x) = 0

### 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.

### 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

### 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… Read More

### Can the graph of a function be reflected cross both the x and y axes simultaneously?

In a sense, yes. This type of reflection, in which a function is reflected over both the x and y-axes, is a possible characteristic of odd functions and is known as origin reflection, or reflection about the origin.

### 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.

### How does the parity evenness oddness of a polynomial functions degree affect its graph?

An even function is symmetric about the y-axis. The graph to the left of the y-axis can be reflected onto the graph to the right. An odd function is anti-symmetric about the origin. The graph to the left of the y-axis must be reflected in the y-axis as well as in the x-axis (either one can be done first).

### 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

### What is an odd number exponent called when it is being graphed?

if it is symmetric and centered at the origin, It is can be called an odd function

### When an odd function has a negative leading coefficient what happens to the graph?

the left end of the graph is going in a positive direction and the right end is going in a negative direction.

### 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".

### What is the difference between negative sine and cosine graphs and positive sine and cosine graphs?

The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.

### What does the s shaped line in the graph indicate?

That it is non-linear. If it is a graph of a polynomial, it would need to be a polynomial of odd order. But it could be the graph of the tangent function, or a combination of reciprocal functions over a limited domain. In fact the s shaped line, by itself, indicates very little.

### How do you find out if the function is a even odd or neither I know your supposed to use f-x -fx but I am not so sure how to do it the problem is 2x to the third power minus x squared?

An even function is symmetric around the vertical axis. An odd function - such as the sine function - has a sort of symmetry too - around the point of origin. If you graph this specific function (for example, on the Wolfram Alpha website), you can see that the function has none of these symmetries. To prove that the function is NOT even, nor odd, just find a number for which f(x) is neither f(-x)… 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.

### 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

### Why an odd-degree function must always have at least one real root?

An odd-degree function approaches positive infinity in one direction and negative infinity in the other direction so the graph must cross the x-axis at least once, giving it at least one real root.

### What do you notice about all the graphs of a function with odd degrees and negative leading coefficients?

Graph a few of them, and watch for trends! Anyway, I assume you are talking about polynomials; in the case you mention, the general tendency is for the graph to go from the top-left, towards the bottom-right.

### 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).

### What is the chromatic number of an n-vertex simple connected graph which does not contain any odd length cycle. Assume n - 2?

χ(Kn) = n colors

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

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

### Is tree a bipartite graph?

Yes. A graph is bipartite if it contains no odd cycles. Since a tree contains no cycles at all, it is bipartite.

### 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.

### 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.

### 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

### 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.

### What is the greatest number of factors a trinomial can have?

it depends on the power of the leading coefficient, and that is not always a great indication because polynomials can have non real numbers. A factor of a polynomial is where the function crosses the x axis. If the trinomial will not factor into real numbers, then there are not any real zeros but there are still factors. Think of this one x^2+6x+14. this will not factor into real numbers, but complex solutions. But these… 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).

### What is an odd monomial function?

An odd monomial is an expression of the form axp where a is a numerical constant and p is an odd integer. As a reult of p being an odd integer, a(-x)p = - axp which makes the expression 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.

### Can an arithmetic sequence be odd?

An arithmetic sequence can consist of only odd numbers but it cannot be an odd function since it need not be defined for negative values of the index.

### What percent of the numbers from 0 to 99 contain both even and odd digits?

45 percent are both even and odd digits

### 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 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'); }

### What is the Chromatic number of a cycle graph?

3 if n is odd 2 if n is even where n is the number of vertices.

### 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.

### What is the secant of 90 degrees?

The secant function is not defined for odd multipls of 90o.

### Can a function be even or odd at same time?

The only function that can do this is f(x)=0, or y=0 What about y2-x2=0

### 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

### What is the name from the really first Video with Weegee?

Well, the origin of Weegee is Mario Is Missing, when he had a sprite which had him in this odd position.

### 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)