Q:

Please help! Select the correct ordered pairs in the table.

Accepted Solution

A:
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.