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Are there non-singular skew-symmetric n n matrices with odd n?
No, there cannot be any.
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).
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.
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.
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.
What is A function whose graph is symmetric about the origin?
Odd Function
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
What do you call two spheres that are symmetric to each other with respect to the origin?
odd balls
Are there non-singular skew-symmetric n n matrices with odd n?
No, there cannot be any.
Could an odd number of reflections ever be a translation?
Yes, it could if applied to a symmetric shape. But not generally.
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.
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).
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.
Can you have line of symmetry but not rotational symmetry?
Yes. An isosceles triangle, for example, is symmetric about the bisector of its odd angle but has no rotational symmetry.
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.
