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
[tex]g(x)=4x^2-x[/tex]
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
