Question

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

Answer 1

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

Answer 2

y = x+3 is neither even nor odd

Answer 3

\[x+3\ne-x+3\]
\[-x+3\ne-(x+3)\]

Answer 4

Thank you!!!

Answer 5

yw

Answer 6

Determine algebraically whether the function is even, odd, or neither even nor odd.

f(x) = -4x3 + 4x



Neither

Even

Odd

Answer 7

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