Conqueroridn
Answered

Get the information you need with the help of IDNLearn.com's extensive Q&A platform. Our community is ready to provide in-depth answers and practical solutions to any questions you may have.

(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.

Sagot :

IGreenidn
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.
View image IGreen
Belcatyaidn
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
Answer:
1.  It starts down on the left and goes up on the right and intersects the x-axis at x = -2, 2, and 3
View image Belcatya
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.