select the correct answer from each drop - down menu.\nthe table shows certain values of a cubic…

select the correct answer from each drop - down menu.\nthe table shows certain values of a cubic function.\n|x| - 7| - 6| - 5| - 4| - 3| - 2| - 1|0|1|2|3|4|5|6|7|\n|y|216|110|40|0| - 16| - 14|0|20|40|54|56|40|0| - 70| - 176|\nuse the table to complete the statements.\nthe function has a relative maximum when x is near.\nas x approaches positive infinity, the value of the function approaches.\nreset next

select the correct answer from each drop - down menu.\nthe table shows certain values of a cubic function.\n|x| - 7| - 6| - 5| - 4| - 3| - 2| - 1|0|1|2|3|4|5|6|7|\n|y|216|110|40|0| - 16| - 14|0|20|40|54|56|40|0| - 70| - 176|\nuse the table to complete the statements.\nthe function has a relative maximum when x is near.\nas x approaches positive infinity, the value of the function approaches.\nreset next

Answer

Answer:

The function has a relative maximum when (x) is near - 1. As (x) approaches positive infinity, the value of the function approaches negative infinity.

Explanation:

Step1: Identify relative maximum

Check (y) - values around each (x). Near (x=-1), (y) - value changes from decreasing ((y = - 14) at (x=-2)) to increasing ((y = 20) at (x = 0)) and then decreases again ((y = 40) at (x = 1)). So relative maximum is near (x=-1).

Step2: Analyze end - behavior

As (x) increases from (x = 4) ((y = 40)) to (x=5) ((y = 0)), (x = 6) ((y=-70)) and (x = 7) ((y=-176)). The (y) - values are getting more and more negative. So as (x\to+\infty), (y\to-\infty).