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Which statement best describes the end behavior of the following function?
F(x) = -x3 - 2x2 +7x-10

Which statement best describes the end behavior of the following function Fx x3 2x2 7x10 class=

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AL2006

A.  The graph of the function is high on the extreme left side, and low on the extreme right side.

The graph has no "start" or "end".  It's defined for all 'x' between negative and positive infinity.  So no matter how far left or right you go, there's always a 'y' for whatever 'x' you're at.

But it's guaranteed that once you get far enough left (negative x), the first term -x³ will definitely be positive, and will become more and more positive as you go farther left.

And similarly, once you get far enough right (positive x), the first term,   -x³ will definitely be negative, and it'll become more and more negative as you go farther right.

So, except for some wiggling within a short distance either side of the origin, if you look at this graph from 10 miles away, f(x) comes out of the sky  on the left side, and it heads down into the salt mine on the right side.

Answer:

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