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what is a rule for a nonlinear function such that y is negative when x=1, positive when x=2, negative x=3, negative when x=4, and so on.

Mathematics
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a negative value is positive of all even exponents and negative for all odd exponents therefore y = \[(-1)^x\]
i dont get but oh well
what that is basically saying is that when you plug in x = 1 for x, you get a negative number, which is true. -1 raised to the 1 is still just negative one. but if you square it, -1 becomes positive. (-1)(-1) = 1. Similarly, with x cubed. (-1)(-1) = 1 (-1) = -1. So you get a negative number again.

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okay thanks:)

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