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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We are given the following function.
$f(x)=x_{3}+3x_{2}−4x $
As we can see, the degree of the polynomial is $3.$ It's an odd number, so the ends of the function will go in opposite directions. Hence, the possible answers are I and II. The leading coefficient of the polynomial is $1.$ It is a positive number, which tells us the following.
$Asx→-∞,f(x)→-∞Asx→∞,f(x)→∞ $
This means that the function enters the coordinate system from the bottom and exits the top. The only graph that meets all the requirements is **II**.