Question

Describe the graph of the function:
f(x)= x^3 - 18x^2 + 101x -180
Include the y-intercept, x-intercepts, and the shape of the graph

Answer 1

The y intercept occurs when x = 0.  Therefore it is -180.
The x-intercepts are the roots of the equation.
x1 = 9
x2 = 4
x3 = 5
The shape of the graph would look approximately like the attached graphic.