Question

Function even, odd, or neither.
1. F(x)=2x/|x|

Answer 1

enter in -x

Answer 2

if F(-x)=F(x) then F is even
if F(-x)=-F(x) then F is odd
if you get neither of those if parts then F is neither odd or even

Answer 3

\[F(-x)=\frac{2(-x)}{|-x|}=\frac{2(-x)}{|-1 \cdot x|}=\frac{-2x}{|-1| \cdot |x|}=?\]

Answer 4

even @ freckles

Answer 5

@freckles

Answer 6

|-1|=?

Answer 7

odd

Answer 8

\[F(-x)=\frac{2(-x)}{|-x|}=\frac{2(-x)}{|-1 \cdot x|}=\frac{-2x}{|-1| \cdot |x|}=\frac{-2x}{|x|}=- \frac{2x}{|x|}=-F(x)\]
yes odd