Question

Describe the graph of the function f(x) = x3 − 15x2 + 68x − 96. Include the y-intercept, x-intercepts, and the end behavior.

Answer 1

The graph of x^3 - 15x^2 + 68x - 96 goes down on the left and rises up on the right.
The y-intercept is the value of the function when x = 0,
y-intercept is y = -96

x-intercept are the zeros of the function.
x^3 - 15x^2 + 68x - 96 = 0
x-intercepts are x = 8, x = 3, x = 4