Answer:
D
Step-by-step explanation:
[tex]f(x)=-x^3+2x^2-x+3[/tex]
As the highest power is 3, it is odd, as [tex]x[/tex] approaches to [tex]-\infty[/tex] [tex]y[/tex] approaches to [tex]\infty[/tex]
First, we have [tex]x \rightarrow-\infty[/tex], [tex]y \rightarrow \infty[/tex]
Plotting the graph, you can easily conclude the answer to the question.
And as [tex]x \rightarrow \infty[/tex], [tex]y \rightarrow -\infty[/tex]
