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Which graph best represents the function f(x) = (x − 1)(x + 3)(x − 3)?

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, 2, and 3. The graph intersects the y axis at a point between 10 and 15.
Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, 2, and 3. The graph intersects the y axis at a point between 15 and 20.
Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, 1, and 3. The graph intersects the y axis at a point between 5 and 10.
Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 1, 1, and 4. The graph intersects the y axis at a point between 0 and 5.

Sagot :

Answer:

B.) Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, 2, and 3. The graph intersects the y axis at a point between 15 and 20.

Step-by-step explanation:

Cubic graph falls to the left and rises to the right. Option C is the correct answer.

We need to identify the graph graph best represents the function f(x) = (x − 1)(x + 3)(x − 3).

What is a cubic function?

A cubic function is a polynomial function of degree 3 and is of the form f(x) = ax³+ bx² + cx + d, where a, b, c, and d are real numbers and a ≠ 0.

Graph the cubic using its end behaviour and a few selected points. Falls to the left and rises to the right.

Plot these points on graph (-1, 16), (0, 9), (1, 0), (2, -5) and (3, 0).

Therefore, option C is the correct answer.

To learn more about the cubic function visit:

https://brainly.com/question/28051275.

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