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If the point (4, 1) is on the graph of an even function, what other point must also be on the graph?(x, y) =  (b)If the point (4, 1) is on the graph of an odd function, what other point must also be on the graph?(x, y) =

Question

If the point (4, 1) is on the graph of an even function, what other point must also be on the graph?(x, y) =  (b)If the point (4, 1) is on the graph of an odd function, what other point must also be on the graph?(x, y) =

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Solution

(a) For an even function, f(x) = f(-x). So if the point (4, 1) is on the graph, then the point (-4, 1) must also be on the graph.

(b) For an odd function, f(-x) = -f(x). So if the point (4, 1) is on the graph, then the point (-4, -1) must also be on the graph.

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