Answer:
(-4, -12) (1, -2) (2, -18)
Step-by-step explanation:
We have a grade 3 polymial function.
We know that the function has a minimum at the point
(-3, -18).
If this is the minimum of the function then this means that when [tex]x <-3[/tex] the function is decreasing and when [tex]x> -3[/tex] the function is growing.
Look in the table for ordered pairs with values of x less than -3.
The only point is (-4, -12).
Then the function has a maximum in ([tex]\frac{1}{3}[/tex], [tex]\frac{14}{27}[/tex])
This means that when [tex]x> \frac{1}{3}[/tex] the function is decreasing and when [tex]x< \frac{1}{3}[/tex] the function is growing.
Search the table for ordered pairs with values of x greater than [tex]\frac{1}{3}[/tex]
We have
(1, -2) (2, -18)
Finally the ordered pairs in which the function decreases are:
(-4, -12) (1, -2) (2, -18)
Observe the attached image.
