How do you find the end behavior of #x^3-4x^2+7#?

1 Answer
Jul 14, 2018

Answer:

End behavior : Down ( As #x -> -oo , y-> -oo# ),
Up ( As
#x -> oo , y-> oo#),

Explanation:

#x^3-4 x^2+7#. The end behavior of a graph describes far left

and far right portions. Using degree of polynomial and leading

coefficient we can determine the end behaviors. Here degree of

polynomial is #3# (odd) and leading coefficient is #+#.

For odd degree and positive leading coefficient the graph goes

down as we go left in #3# rd quadrant and goes up as we go

right in #1# st quadrant.

End behavior : Down ( As #x -> -oo , y-> -oo#),

Up ( As #x -> oo , y-> oo#).

graph{x^3-4 x^2+7 [-20, 20, -10, 10]} [Ans]