What is the end behavior of #f(x) = x^3 + 4x#?
2 Answers
End behavior : Down ( As
Up ( As
Explanation:
and far right portions. Using degree of polynomial and leading
coefficient we can determine the end behaviors. Here degree of
polynomial is
For odd degree and positive leading coefficient the graph goes
down as we go left in
right in
End behavior : Down ( As
Up ( As
graph{x^3 + 4 x [-20, 20, -10, 10]} [Ans]
Explanation:
To think about end behavior, let's think about what our function approaches as
To do this, let's take some limits:
To think about why this makes sense, as
What does our function approach as
Once again, as
Hope this helps!