Give an example of a function that is neither even nor odd and explain algebraically why it is neither even nor odd.

Question

amistre64 · Answer

even functions are symmetric about the y axis,  odd functions are symmetric about the origin.

even:  f(x) = f(-x)
odd:   f(-x) = -f(x)

if neither of these conditions hold, then its a neither of them

amistre64 · Answer

y = x+3  is neither even nor odd

amistre64 · Answer

$$x+3\ne-x+3$$
$$-x+3\ne-(x+3)$$

anonymous · Answer

Thank you!!!

amistre64 · Answer

yw

anonymous · Answer

Determine algebraically whether the function is even, odd, or neither even nor odd.

f(x) = -4x3 + 4x



 Neither 

Even 

Odd

anonymous · Answer

Can you help with this one? I'm really confused.