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

Observe $y$ - values around each $x$. Near $x=-1$, the $y$ - value is $0$, and the $y$ - values to the left ($x = - 2,y=-14$) and right ($x = 0,y = 20$) are smaller in the local region.

Step2: Analyze end - behavior

As $x$ increases from $x = 4$ to $x = 7$, the $y$ - values go from $40$ to $-176$. Since the $y$ - values are decreasing as $x$ gets larger, as $x\to+\infty$, $y\to-\infty$.