Which is the correct graph of f(x) = x3 – 10x2 + 9x ?

Attachment

Step-by-step explanation:

Given:

This is cubic equation. We will find x and y intercept.

For x-intercept: Put y=0

x-intercepts: (0,0)  (1,0)  (9,0)

For y-intercept: Put x=0

y-intercept: (0,0)

End behavior : It is cubic equation and leading coefficient is 1.

Leading coefficient of is positive.

So, x → ∞ , y → ∞  and  x → -∞ , y → -∞

Now, we will draw the graph using points and end behavior.

Please find attachment for graph.