When looking at a rational function, Jamal and Angie have two different thoughts. Jamal says that the function is defined at x = –3, x = –4, and x = 6. Angie says that the function is undefined at those x values. Describe a situation where Jamal is correct, and describe a situation where Angie is correct. Is it possible for a situation to exist where they are both correct? Justify your reasoning.
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Jamal would be correct is those are the zeros of the function, where the graph touches the x axis and Angie would be correct if those are the restrictions on x, meaning they make the denominator equal zero. It might be possible for both of them to be correct because those values could be complex zeros, but still, at least one of those values would have to be a real solution because complex zeros always come in pairs and there are three solutions in this case.
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