(25 points)
which statement best describes the graph of x^3 - 3x^2 - 4x + 12?
it starts down on the left and goes up on the right and intersects the x-axis at x = -2, 2, and 3.
it starts down on the left and goes up on the right and intersects the axis at x = -2, 4, and 3.
it starts up on the left and goes down on the right and intersects the axis at x = -2, 2, and 3.
it starts up on the left and goes down on the right and intersects the axis at x = -2, 4, and 3.

The answer is A.

The 0's of the function are -2, 2, and 3.

The graph starts from the bottom left and it keeps going to the top right.

X³ - 3x² - 4x + 12=(x³ - 3x²) - (4x - 12)=x²(x-3)-4(x-3)= (x-3)(x²-4)=(x-3)(x-2)(x+2)
 equation cross x-axis in point x=-2, x=2, x=3
so we can choise from  1 and 3 answers:
 It starts down on the left and goes up on the right and intersects the x-axis at x = -2, 2, and 3.
It starts up on the left and goes down on the right and intersects the axis at x = -2, 2, and 3.

coefficient before x³>0 so it go up
 so it ís answer 1

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