Question

y=2x
Is this Odd, Even or neither?
Pls explain

Answer 1

A function is even if the following is true for the function:
\[f(-x)=f(x).\]
Visually, you'd see symmetry across the y-axis if you were to graph the function.

A function is odd if
\[f(-x)=-f(x).\]
Here, the function would be symmetric about the origin.

Answer 2

wouldnt this be odd?

Answer 3

f(−x)= -2x
−f(x)= -2x

Answer 4

Yes

Answer 5

in the back of my book it says neither...

Answer 6

maybe the back of book is wrong?

Answer 7

It's got to be; wolfram seems to agree http://www.wolframalpha.com/input/?i=is+y%3D2x+odd%3F

Answer 8

And it's quite clear to me that it is indeed an odd function.

Answer 9

k thanks