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

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) (Show Source): You can put this solution on YOUR website!
You are correct. If you graph , you can see that the graph only has symmetry with respect to the origin.

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SOLUTION: 16. Check f (x) = x3 &#8722; x for symmetry with respect to the x-axis (f (x) = &#8722;f (x)), y-axis (f (&#8722;x) = f (x)), and origin (f (&#8722;x) = &#8722;f (x)) respectively

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