graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 2, and 2 Which of the following functions best represents the graph? f(x) = (x − 2)(x − 3)(x + 2) f(x) = (x + 2)(x + 3)(x + 12) f(x) = (x + 2)(x + 3)(x − 2) f(x) = (x − 2)(x − 3)(x − 12)

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Answer:

i would say  f(x) = (x-2)(x-3)(x+2) but i could be wrong its a confusing question the way it's worded

Step-by-step explanation:

and i'm sorry if i was wrong

The cubic polynomia function f(x) = (x+2) (x+3) (x-2) best represents the graph where it falls to the left and rises to the right with x-intercepts -3,-3, and 2.

The graph of the polynomial function falls to the left and rises to the right where x-intercepts are (0, -3), (0, -2), and (0, 2).

We have to see which cubic polynomials function given in the option conforms with the given statement.

What is the x-intercept of a function?

The x-intercept of a function is the points on the x-axis of the graph where the function passes.

We consider y = 0 or f(x) = 0 when we find the x-intercept.

Finding the x-intercept for all the given options.

1. f(x) = (x − 2)(x − 3)(x + 2)

Put f(x) = 0.

0 = (x-2)(x-3)(x+2)

x-2 = 0.   x-3 = 0.    x+2 = 0

x = 2.       x = 3.        x = -2

x = 2, 3, -2

x-intercepts are 2, 3, and -2.

Similarly,

2. f(x) = (x + 2)(x + 3)(x + 12)

x-intercepts are -2, -3 and, -12.

3. f(x) = (x + 2)(x + 3)(x − 2)

x-intercepts are -2, -3, and 2.

4. f(x) = (x − 2)(x − 3)(x − 12)

x-intercepts are 2, 3, and 12

Thus we see that the cubic polynomial function f(x) = (x+2)(x+3)(x-2) have -2, -3 and 2 as its x-intercept.

The graph of this cubic function falls to the left and rises to the right as shown below.

Learn more about x-intercept on a graph for a function here:

https://brainly.com/question/20896994

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