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imagine you're a train travelling from small x values to large x values (- infinity to infinity), when (for what values of x) are you going uphill (y values are getting larger)?
when (for what values of x) are you going downhill (y values are getting smaller)?
I think I understand what you are saying. Im trying to apply it to the problem
would it be increasing over \[x >-1 \] and decreasing over \[x >-3\]
well, the vertex is at x = -1, right? if you're coming from the left to the right, yuo'd be going uphill for x < -1 and downhill for x > -1. does that make sense?
ohh okay. yeah, that does make sense. thank you. so would the maximum be -1 and then no minimum ?