From the given linear function, we have that:
A. The function is constant on the following interval: B.2 ≤ x ≤ 5.
B. The function is increasing on the following interval: A.0 ≤ x ≤ 2.
C. The function is decreasing the fastest on the following interval: D.5 ≤ x ≤ 6.
D. The justification for the previous item is: D.5 ≤ x ≤ 6 is the interval where the slope is the steepest.
<h3>When a function is constant?</h3>
A function is constant when it's graph is an horizontal line, hence in this problem the function is constant for two intervals.
Hence, in item A, option B is correct.
<h3>When a function is increasing?</h3>
A function is increasing on the intervals that y is increasing while x increases, that is, the function is moving right and up.
Hence, in item B, option A is correct.
<h3>When a function is decreasing?</h3>
A function is decreasing on the intervals that y is decreasing while x increases, that is, the function is moving right and down.
The decrease is faster when the division of the change in the output by the change in the input has the lower value(greater absolute negative).
Hence:
- In item 3, option D is correct.
- In item 4, option D is correct.
More can be learned about linear functions at brainly.com/question/24808124
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