Question

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

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

Answer 1

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)

Answer 2

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.