even odd or neither

Question

y=|x-7|

A) odd B)even C)neither

Answer 1

Moriah,

this function is C)neither.  in determining whether a function is odd or even:

if f(-x)=f(x) then the function is even (example y=2x², plug in 2 and -2 and the answer is the same y=8)

if f(-x)=-f(x) then the function is odd (example y=5x³, plug in 2 and -2 and the answer is 40 and -40 respectively)

since your function y=|x-7| satisfies neither of these conditions, your function is neither.

Answer 2

y could be either odd or even depending on the value of x. Is there any more information provided?