Question

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

Answer 1

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Answer 2

Answer and Explanation :

Given : Function $f(x) = x^3 -15x^2 + 68x -96$

To find : Describe the graph of the function include the y-intercept, x-intercepts, and the shape of the graph?

Solution :  

We have given the function,

$f(x) = x^3 -15x^2 + 68x -96$

We plot the graph of the function and seen all the parameters above.

Refer the attached graph below.

The x-intercept is when y=o and line passes through x-axis.

The x-intercepts are (3,0),(4,0) and (8,0)

The y-intercept is when x=o and line passes through y-axis.

The y-intercepts is (0,-96)

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