Question

choose the end behavior of the graph of each polynomial function. progress: 0/3 part 1 of 3 (a) $f(x)=3x^{3}+7x^{2}+5x + 9$ falls to the left and rises to the right rises to the left and falls to the right rises to the left and rises to the right falls to the left and falls to the right

Explanation:

Step1: Identify degree and leading coefficient

Degree $n=3$ (odd), leading coefficient $a=3$ (positive)

Step2: Apply end behavior rules

For odd $n>0$, positive $a$:
As $x\to-\infty$, $f(x)\to-\infty$ (falls left);
As $x\to+\infty$, $f(x)\to+\infty$ (rises right).

Answer:

Falls to the left and rises to the right