y=|x-7|
A) odd B)even C)neither
y=|x-7|
A) odd B)even C)neither
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=2x^{2}, 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=5x^{3}, 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.
y could be either odd or even depending on the value of x. Is there any more information provided?
Comments
The answer should be neither since the function has symmetry about x = 7.
Comment