Question

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

Answer 1

(-4, -12) (1, -2) (2, -18)

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
`x <-3` the function is decreasing and when
`x> -3` 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 (
`(1)/(3)`,
`(14)/(27)`)

This means that when
`x> (1)/(3)` the function is decreasing and when
`x< (1)/(3)` the function is growing.

Search the table for ordered pairs with values of x greater than
`(1)/(3)`

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.