Using function concepts, it is found that:
Domain is [0, 7] and represents the days the student recorded the heights.
Range is [14, 18] and represents the height of the water in the pool.
- The domain of a function is the set that contains all possible input values.
- The range of a function is the set that contains all possible output values.
In this problem, the height of the water, after t days, is given by:
[tex]h(t) = |t - 3| + 14[/tex]
- The domain is the days in which the heights were recorded.
- The range is the heights in these days.
- Heights were recorded for 7 days, thus, the domain is [0,7].
The heights are:
[tex]h(0) = |0 - 3| + 14 = 3 + 14 = 17[/tex]
[tex]h(1) = |1 - 3| + 14 = 2 + 14 = 16[/tex]
....
[tex]h(3) = |3 - 3| + 14 = 0 + 14 = 14[/tex]
......
[tex]h(7) = |7 - 3| + 14 = 4 + 14 = 18[/tex]
Heights vary between 14 and 18, thus, the range is [14,18].
The correct option is:
Domain is [0, 7] and represents the days the student recorded the heights.
Range is [14, 18] and represents the height of the water in the pool.
A similar problem is given at https://brainly.com/question/24005819
