Graph the function f (x) = x3 - 15x2 + 68x - 96.

Describe the graph. Include the y-intercept, x-intercepts, and the shape of the graph.

Yintercept is where x=0

xint is where y=0

shape is 3rd degree and positive leading coefient

it goes from bottom left to top right

yint is - 96

xint

factor

f (x) = (x-8) (x-4) (x-3)

xints are at (8,0) and (4,0) and (3,0)

The function is a cubic function with y intercept at y = - 96 and x-intercepts at x = 3, x = 4 and x = 8.

The graph is looks like an 'S' shape rotated to the left.