Which statement best describes the graph of x3 − 3x2 − x + 3?

It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 2, and 3.
It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 1, and 3.
It starts up on the left and goes down on the right and intersects the x-axis at x = −1, 2, and 3.
It starts up on the left and goes down on the right and intersects the x-axis at x = −1, 1, and 3.

Respuesta :

Answer:

B. It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 1, and 3.


Step-by-step explanation:

I took the test

It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 1, and 3.

Which statement best describes the graph?

We want to describe the graph of:

[tex]y = x^3 - 3x^2 - x + 3[/tex]

We can see that the y-intercept is y = 3, and the x-intercepts can be seen in the graph below, these are at: x = -1, x = 1 and x = 3.

We also can see that it is cubic, so it starts down.

Then the correct option is the second one:

"It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 1, and 3."

If you want to learn more about cubic functions:

https://brainly.com/question/1972490

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