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

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Answer 1 · 2018-07-14T11:58:17

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

$x^3-4 x^2+7$ . 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]

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