how to find the intervals (algebra 2)?

Question

-(x-1)^2(x+3)(x-3)

as x approaches infinity, f(x) approaches____

as x approaches -infinity, f(x) approaches____

How do you figure that out?

Answer 1

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end behavior => consider the highest power, if

the power is odd and coefficient + => right up,left down

the power is odd and coefficient - => right down,left up

the power is even and coefficient + => right up,left up

the power is even and coefficient - => right down,left down

.......................................................................................................

y = -(x-1)^2(x+3)(x-3)

=> highest power = -x^4

the power is even and coefficient - => right down,left down

http://www.wolframalpha.com/input/?i=plot%3A+y+%3D...