If you were ONLY given the graph of the function, how could you determine if the function was even, odd, or neither? Use at least two sentences to support your answer.
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Beyond the Answer
To determine if a function is even, odd, or neither using only its graph, you can visually assess its symmetry. A function is even if it is symmetric about the y-axis, meaning that for every point (x, y), there is also a corresponding point (-x, y). Conversely, a function is odd if it exhibits rotational symmetry around the origin, so that for every point (x, y), there exists a point (-x, -y). If the graph does not conform to either of these symmetry properties, the function can be classified as neither even nor odd.
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