AlgebraPolynomails
posted by Sam
Please explain to me orgin of symmetry, yaxis semmetry, or if its neither.
1. Determine whether the graph of the polynomial has yaxis symmetry, origin symmetry, or neither.
f(x) = 4x^2  x^3
this is how I did it: f(x)=(4x^2)x^3,I got this was orgin symmetry
f(x) = 5  x^4
f(x)=x^4 + 5 I got this was y axis symmetry
f(x)=x^32x
I got this one to be neither

drwls
I am assuming that what you call "origin symmetry" is what is also called an "odd function", for which f(x) = f(x)
Symmetry such that f(x) = f(x), about the y axis, is called an even function.
With these definitions,
f(x) = 4x^2  x^3
has no symmetry
because f(x) equals neither f(x) nor f(x), and the last function,
f(x)=x^32x has "origin" (odd) symmetry, because f(x) = f(x)
Respond to this Question
Similar Questions

Alegrba
Please check my answers. Also, can I see some graphs of yaxis symmetry, orgin of symmetry, or neither? 
Precalculus
find any intercepts of the graph of the given equation. determine whether the graph of the equation possesses symmetry with respect to the xaxis, yaxis, or orgin y=x^22x2 
Precalculus
find any intercepts of the graph of the given equation. determine whether the graph of the equation possesses symmetry with respect to the xaxis, yaxis, or orgin x+y=4 
symmetry help
find any intercepts of the graph of the given equation. determine whether the graph of the equation possesses symmetry with respect to the xaxis, yaxis, or orgin x+y=4 
Functions
How do you determine (without graphing) if the polynomial has line symmetry about the yaxis, point symmetry about the origin, or neither. The function is: f(x)= x^5 + 7x^3 + 2x 
precal
what is the slant asymptote of the graph of the rational function and b use the slant to graph the rational function. f(x)x^2x20/x6 a. y=? 
mathplease help,need quickly
find the slant asymptote of the graphof the rational function. 1.f(x)=x^2x2/x7 y=? 
Math
Determine whether the graph of x=y^21 is symmetric with respect to the xaxis, the yaxis, the origin, or has no symmetry. 
Geometry
1.1.Determine whether the regular pentagon has reflection symmetry, rotation symmetry, both, or neither. If it has reflection symmetry, state the number of axes of symmetry. If it has rotation symmetry, state the angle of rotation. … 
Algebra 1
What type of symmetry does the graph of y = x3 exhibit?