SOLUTION: Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. f(x) = -x^3(x + 2)^2(x - 6) origin symmetry y-axis symmetry nei

Algebra.Com
Question 1086965: Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither.
f(x) = -x^3(x + 2)^2(x - 6)

origin symmetry

y-axis symmetry

neither

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


the graph will be symmetrical with respect to the y-axis if:

check:
......if




=>the graph is symmetrical with respect to the y-axis


the graph will be symmetrical with respect to the origin if:


......if




=>the graph is symmetrical with respect to the origin



answer:



RELATED QUESTIONS

determine whether the graph of the polynomial has y-axis symmetry, origin symmetry or... (answered by stanbon)
Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or... (answered by Alan3354)
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Determine whether the graph of the... (answered by gonzo)
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION: Determine whether the graph of the... (answered by checkley77)
f(x)= ((23)/(x(x^2-2) Determine whether the rational function has symmetry with respect... (answered by josgarithmetic)
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE: Determine whether the graph of... (answered by ankor@dixie-net.com)
Determine whether the rational function has symmetry with respect to the origin, symmetry (answered by Alan3354)
Determine whether the rational function has symmetry with respect to the origin, symmetry (answered by ikleyn)
Determine whether the rational function has symmetry with respect to the origin, symmetry (answered by Boreal)