Question

polynomial functions an
describe the end behavior of each

1. ( g(x) = 4x^7 - 3x^4 + x )

Explanation:

Step1: Identify leading term

The leading term is $4x^7$.

Step2: Analyze degree and leading coefficient

Degree (7) is odd; leading coefficient (4) is positive.

Step3: Define end behavior rules

For odd degree, positive leading coefficient:
As $x\to+\infty$, $g(x)\to+\infty$;
As $x\to-\infty$, $g(x)\to-\infty$.

Answer:

As $x \to +\infty$, $g(x) \to +\infty$; as $x \to -\infty$, $g(x) \to -\infty$