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What is symmetric function?

Updated: 9/24/2023
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Q: What is symmetric function?
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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 the difference of odd and even functions?

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


What is A function whose graph is symmetric about the origin?

Odd Function


What is a function that is symmetric with respect to the x axis?

The only function that can be symmetric about the x-axis is the x-axis itself. For each value of x a function, f(x), can have at most one value for f(x). Otherwise it is a mapping or relationship but not a function.


What does even distribution mean?

It means that the probability density function is symmetric about 0.


Is there a function whose graph is symmetric with respect ot the x axis?

x=y²


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.


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 is a Bessel function?

A Bessel function is any of a class of functions which are solutions to a particular form of differential equation and are typically used to describe waves in a cylindrically symmetric system.


How are the graphs of inverse functions symmetric?

symmetric about the y-axis symmetric about the x-axis symmetric about the line y=x symmetric about the line y+x=0


What is a function that is symmetric with respect to the y-axis?

A function that is symmetric with respect to the y-axis is an even function.A function f is an even function if f(-x) = f(x) for all x in the domain of f. that is that the right side of the equation does not change if x is replaced with -x. For example,f(x) = x^2f(-x) = (-x)^2 = x^2


What is doubly symmetric?

If the function, or channel, or whatever you are reffering to has a axis of symmetry across both the y-axis and the x-axis