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.

Question

abb0t · Answer

a negative value is positive of all even exponents and negative for all odd exponents
therefore
y = $$(-1)^x$$

safari321 · Answer

i dont get but oh well

abb0t · Answer

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.

safari321 · Answer

okay thanks:)