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even odd or neither

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2 Answers

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.

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.

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