Conqueroridn
Answered

Get the answers you've been looking for with the help of IDNLearn.com's expert community. Discover in-depth answers from knowledgeable professionals, providing you with the information you need.

(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 are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.