0
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".
Add your answer:
Earn +20 pts
What kind of symmetry does a chicken have?
radial symmetry, i am trying to find the reason now!
Does a triangle have a line symmetry rotational symmetry or both?
An equilateral triangle has both line symmetry and rotational symmetry. A non-equilateral isosceles triangle has line symmetry but not rotational symmetry. A scalene triangle has neither kind of symmetry.
Is a symmetry a kind of tree?
it isn't because its a kind of nature.
What kind of symmetry does mullusks display?
According to animal classification into bilateria and radiata (ACCORDING TO SYMMETRY)the echinoderms and molluscs are bilaterally symmertrical.
Which polygon has exact two lines of symmetry and is NOT a quadrilateral?
Any polygon with an even number of sides can have two lines of symmetry, but it would have to be irregular.
What are even and odd functions?
An even function is a function that creates symmetry across the y-axis. An odd function is a function that creates origin symmetry.
What kind of symmetry does an odd function have?
Reflection about the y-axis.
How do you determine if a function is even or odd?
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
How do you tell if a function is even or odd?
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
What kind of symmetry indicates that a function will not have an inverse?
If a function is even ie if f(-x) = f(x). Such a function would be symmetric about the y-axis. So f(x) is a many-to-one function. The inverse mapping then is one-to-many which is not a function. In fact, the function need not be symmetric about the y-axis. Symmetry about x=k (for any constant k) would also do. Also, leaving aside the question of symmetry, the existence of an inverse depends on the domain over which the original function is defined. Thus, y = f(x) = x2 does not have an inverse if f is defined from the real numbers (R) to R. But if it is defined from (and to) the non-negative Reals there is an inverse - the square-root function.
What kind of symmetry does mollusca have?
bilateral symmetry
What kind of symmetry does an earthworm have?
Lateral Symmetry.
What kind of symmetry in dogs?
Bilateral symmetry
What kind of symmetry does a polyp have?
Radial Symmetry
Kind of symmetry does a starfish have?
turn symmetry
What is Kind of symmetry does a hookworm?
Bilateral symmetry.
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.
