Reflection about the y-axis.
Wiki User
∙ 11y agoIt is an odd function. Even functions use the y-axis like a mirror, and odd functions have half-circle rotational symmetry.
Bilateral symmetry.
It is an increasing odd function.
Butterflies have a bilateral symmetry.
Radial symmetry
An even function is a function that creates symmetry across the y-axis. An odd function is a function that creates origin symmetry.
It is an odd function. Even functions use the y-axis like a mirror, and odd functions have half-circle rotational symmetry.
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 the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2
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 the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2
A function f(x) is even if f(-x) = f(x). A graph of f(x) would be symmetric about the y-axis (vertical symmetry about x=0). f(x) need not be "well-behaved" or even continuous, unlike the examples given in Wikipedia article on "Even and odd functions". The article does make this clear - under "Some facts".
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.
bilateral symmetry
Lateral Symmetry.
Bilateral symmetry
Radial Symmetry
turn symmetry
Bilateral symmetry.