Thread: f(x) for Symmetry

Test each of the following for symmetry. Is f(x) even, odd, or neither?

a) f(x) = x³ + x² + x + 1

b) f(x) = 2x³ − 4x

Originally Posted by symmetry

Test each of the following for symmetry. Is f(x) even, odd, or neither?

a) f(x) = x³ + x² + x + 1

b) f(x) = 2x³ − 4x

a)
This result is neither f(x) nor is it -f(x). So this function is neither even, nor odd.

b)
So this function is odd.

-Dan

Tell me, what are the rules for this symmetry stuff?