4. the height of the banana is decreasing on the interval ( 2.5<xleq6 ).
4. the height of the banana is decreasing on the interval ( 2.5<xleq6 ).
Answer
Explanation:
Step1: Analyze the data in the table
From the table, when (x = 2), the height is (12); when (x=3), the height is (12); when (x = 4), the height is (10); when (x=5), the height is (6); when (x = 6), the height is (0).
Step2: Determine the trend of the function
For a function (y = f(x)) (where (y) is the height and (x) is the distance from cannon), if for any (x_1,x_2\in(2.5,6]) with (x_1<x_2), we have (f(x_1)>f(x_2)). When (x) increases from (2.5) to (6), looking at the values in the table (for integer values in the interval and considering the nature of a parabolic - like path which is consistent with the table values), as (x) gets larger, the height (distance above ground) gets smaller.
Answer:
True