Reflection about the y-axis.
It 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.
Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.
Butterflies have a bilateral 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. An isosceles triangle, for example, is symmetric about the bisector of its odd angle but has no rotational symmetry.
Lateral Symmetry.
Bilateral symmetry
bilateral symmetry
Radial Symmetry
Bilateral Symmetry
turn symmetry