Question

Which of the following summarizes the end behavior of the function g(x) = 4x2 - x?

Answer 1

Answer:

see the explanation

Step-by-step explanation:

we know that

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity

In this problem we have

$g(x)=4x^2-x$

This is a vertical parabola open upward

The vertex is a minimum

so

as x approaches positive infinity ----> the value of g(x) approaches positive infinity

as x approaches negative infinity ----> the value of g(x) approaches positive infinity

f(x)→+∞, as x→−∞

f(x)→+∞, as x→+∞

see the attached figure to better understand the problem