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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^2
f(-x) = (-x)^2 = x^2
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Which functions have graphs that are a symmetrical with respect to the origin?
The only shape that is symmetric about a point are a circle, sphere and their multi-dimensional counterparts. There are many more functions that are symmetric about the axes or specific lines.
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 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
What does symmetric nephrograms pertainning to the kidneys mean?
symmetric nephrograms
Is a triangle a symmetric shape yes or no?
Some triangles are symmetric, while others are not. All equilateral and isosceles triangles are symmetric.all triangles are symmetric.
Is there a function whose graph is symmetric with respect ot the x axis?
x=y²
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.
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.
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 the difference of odd and even functions?
An even function is symmetric about the y-axis. An odd function is anti-symmetric.
Is a circle symmetric with respect to x-axis on a graph?
Any point on the graph can be the center of a circle. If the center is on the x-axis, then the circle is symmetric with respect to the x-axis.
What is A function whose graph is symmetric about the origin?
Odd Function
Are quadratic functions symmetric with respect to the y-axis?
No, but they are symmetric with respect to a line parallel to the y-axis - which could be the y-axis itself.
Which point is not located on the xaxis or the yaxis of a coordinate grid?
Which point is not located on the xaxis or the yaxis of a coordinate grid?Read more:Which_point_is_not_located_on_the_xaxis_or_the_yaxis_of_a_coordinate_grid
What do you call two spheres that are symmetric to each other with respect to the origin?
Two spheres that are symmetric to each other with respect to the origin are called "antipodal spheres." This means that the centers of the spheres are equidistant from the origin but in opposite directions.
What is ground state wave function of lithium for identical electron?
For lithium with identical electrons, the ground state wave function is a symmetric combination of the individual electron wave functions. This means that the overall wave function is symmetric under exchange of the two identical electrons. This symmetric combination arises from the requirement that the total wave function must be antisymmetric due to the Pauli exclusion principle.
Which functions have graphs that are a symmetrical with respect to the origin?
The only shape that is symmetric about a point are a circle, sphere and their multi-dimensional counterparts. There are many more functions that are symmetric about the axes or specific lines.
