0
Want this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
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
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.
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.
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, it is possible to have a shape that has a line of symmetry but does not have rotational symmetry. An example is the letter "K", which has a vertical line of symmetry but cannot be rotated to match its original orientation.
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 odd function: -f(x) = f(-x) Geometrically, it is symmetric about the origin. While the constant function f(x)=0 is symmetric about the origin, constant function such as y=1 is not. and if we look at -f(x)=f(-x) for 1, we have -f(x)=-1 but f(-1)=1 since it is a constant function so y=1 is a constant function but not odd. So f(x)=c is odd if and only iff c=0 f(x)=0 is the only function which is both even and 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.
