It is true that every even function is not one-to-one function and it is true that every odd function is one-to-one
How to determine the true statements?
Consider a function defined as
y = f(x)
The function f(x) is an even function if
f(x) = f(-x)
This means that the function is not a one-to-one function
Also, the function f(x) is an odd function if
f(-x) = -f(x)
This means that the function is a one-to-one function
Hence, the complete statements are:
it is true that every even function is not one-to-one function and it is true that every odd function is one-to-one
Read more about odd and even functions at:
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