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Hence if f is an even function and for some number a, a and a are both in the domain of f then f(a) = f(a) and yet a ≠ a and hence f is not onetoone. But what about the function f(x) = √x? The domain of f is the set of nonnegative real numbers and from the definition above f(x) = √x is onetoone. Is it even? Suppose the definition of even read
In this case f(x) = √x is even since the only x for which x and x are in the domain of f is x = 0. Carefully read the definitions of even and oneyoone that appear in your textbook. Is f(x) = √x? Harley  


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