Saturday

November 22, 2014

November 22, 2014

Posted by **Sam** on Tuesday, October 23, 2007 at 4:12pm.

1. Determine whether the graph of the polynomial has y-axis 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^3-2x

I got this one to be neither

- Algebra-Polynomails -
**drwls**, Tuesday, October 23, 2007 at 4:35pmI 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^3-2x has "origin" (odd) symmetry, because f(-x) = -f(x)

**Answer this Question**

**Related Questions**

Alegrba - Please check my answers. Also, can I see some graphs of y-axis ...

math-please help,need quickly - find the slant asymptote of the graphof the ...

pre-cal - what is the slant asymptote of the graph of the rational function and ...

Functions - How do you determine (without graphing) if the polynomial has line ...

symmetry help - find any intercepts of the graph of the given equation. ...

Precalculus - find any intercepts of the graph of the given equation. determine ...

Precalculus - find any intercepts of the graph of the given equation. determine...

Precalculus - find any intercepts of the graph of the given equation. determine...

Algebra - Find the axis of symmetry for y=x^2+4x-7 Find the axis of symmetry for...

Math - Determine whether a regular decagon has reflection symmetry and/or ...