Astudent was conducting a study to determine how many loose gala apples could be packed in different box sizes at the local farmer’s market. the average gala apples have a diameter of 3.5 inches.

box dimensions number of apples in box apples per cubic inch

20 in x 13 in x 12 in 72 apples 0.023

12 in x 12 in x 12 in 40 apples 0.023

20 in x 10 in x 6 in 28 apples 0.023

given the farmer’s market wants to use a box that had the dimensions, 16 in x 9 in x 9 in, (volume = 1,296 inches cubed) approximately how many apples should fit in the box based on the information provided by the table?

The end behaviour to the left is decreasing and to the right is increasing

The end behaviour of a polynomial function depends on the degree "n" of the polynomial ("n" even or odd) and the sign on the leading coefficient (the coefficient of the "x" has the biggest exponent):
For even degree polynomial (biggest exponent "n" even) and leading coefficient positive the end behaviour is increasing in both ends; and for leading coefficient negative the end behaviour is decreasing in both ends.
For odd degree polynomial (biggest exponent "n" odd) and leading coefficient positive the end behavior to the left is decreasing and the end behaviour to the right is increasing; for leading coefficient negative, the end behaviour to the left is increasing and the end behaviour to the right is decreasing.

In this case the degree of the polynomial (biggest exponent) is n=3 (odd) and the leading coefficient (the coefficient of the "x" has the biggest exponent) is 2 (positive), then the end behaviour to the left is decreasing and to the right is increasing