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1. Suppose that the point (1, -5) is on the graph of a function f(x). Hint: It may help to visulaize the points plotted on

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1. Suppose that the point (1, -5) is on the graph of a function f(x). Hint: It may help to visulaize the points plotted on an r-y aris. (n) If f is even (symmetric with respect to the y-axis), then what other point (besides (1, -5) ) must also be on the graph of /(2)7 Explain. (b) If f is odd (symmetric with respect to the origin), then what other point (besides (1, -5) ) must also be on the graph of f(2)7 Explain. (e) If f is even (symmetric with respect to the y-axis) and the function g(c) = -/(x), then what two points must be on the graph of g(x)? Explain

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