SOLUTION: 16. Check f (x) = x3 − x for symmetry with respect to the x-axis (f (x) = −f (x)), y-axis (f (−x) = f (x)), and origin (f (−x) = −f (x)) respectively

Algebra ->  Rational-functions -> SOLUTION: 16. Check f (x) = x3 − x for symmetry with respect to the x-axis (f (x) = −f (x)), y-axis (f (−x) = f (x)), and origin (f (−x) = −f (x)) respectively      Log On


   

Question 117392: 16. Check f (x) = x3 − x for symmetry with respect to the x-axis (f (x) =
−f (x)), y-axis (f (−x) = f (x)), and origin (f (−x) = −f (x)) respectively (2
pts).
a) Yes, No, No
b) Yes, Yes, No
c) No, No, Yes
d) No, Yes, Yes
I think that it i C but not sure
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct. If you graph x%5E3-x, you can see that the graph only has symmetry with respect to the origin.

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3-x%29+