-3x^3+x^2+2x rises as x grows very large
true or false

Question

-3x^3+x^2+2x rises as x grows very large
true or false

mathmale · Answer

We often discuss "dominant term" in situations such as this one.  In your polynomial, f(x)=-3x^3+x^2+2x, the dominant term is that involving the largest power of x, i. e., x^3.

Ask yourself:  How does y=x^3 behave as x continues to increase?
Ask you rself:  How does y=-x^3 behave?

anonymous · Answer

im not sure....

anonymous · Answer

@mathmale

mathmale · Answer

Have you tried graphing these two functions?  They are extremely common ones, so you should pretty much know their shapes by heart.  if you don't, couldn't you use a graphing calculator to determine the shapes of both?

anonymous · Answer

I did graph it and I think its true?