View Full Version : Describe The Symmetry

05-30-2009, 10:22 PM
Given f(x)= 2x^3. Describe The Symmetry.
a) rotational symmetry around the origin
b) reflectional symmetry across y=0
c) reflection symmetry accross x=0
d) no symmetry

I think the answer is b or c. What did you get? Please describe the answer. :)

05-30-2009, 10:51 PM
Prove it. Don't guess.

Symmetry across the Y-axis. f(x) = f(-x) What say you? Even Function?

How about this? f(x) = -f(-x) Odd function? Is that symmetry?

How about this? f(x) = -f(x) Is that a function? Careful. Symmetry?

05-30-2009, 11:23 PM
I'm Confused;;*

05-31-2009, 08:43 AM
I'm Confused;;*
Ah. The previous reply had assumed that you were familiar with even and odd functions and with symmetry. To learn, please study some online lessons:

. . . . .Google results for "functions even odd" (http://www.google.com/search?hl=en&q=functions+even+odd)

. . . . .Google results for "functions symmetry" (http://www.google.com/search?hl=en&q=functions+symmetry)

Once you have learned the necessary background material, please review the (very good) hints you've been given. :wink: