Given the following function:
[tex]g(x)=4x^5-3x^6+2x^3-1[/tex]
The given function has a degree = 6 (the greatest exponent)
And the leading coefficient is negative = -3
So, the function has the following end behavior:
[tex]\begin{gathered} x\rightarrow\infty,g(x)\rightarrow-\infty \\ x\rightarrow-\infty,g(x)\rightarrow-\infty \end{gathered}[/tex]
So, the answer will be option D
