Analyze transformations of quadratic and absolute-value functions and identify even/odd functions.
Classify a function as even, odd, both, or neither
Problem
Classify \(f(x)=x^2\) as even, odd, both, or neither.
Big Picture
What this problem is really about
A four-way symmetry classification requires testing the even and odd identities independently over the full domain. We’ll simplify f of negative x, compare it first with f of x and then with negative f of x, and use a counterexample where needed to rule out an identity.
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