Answer:
1) table values: -3, 2, 4.5, 7, 12, 17
2) 2.5 inches
3) The seed was 3 inches underground, h=0 starts at the top of the soil
4) h = 2.5d - 3
5) domain d ∈ [0, ∞), range h ∈ [-3, ∞)
Step-by-step explanation:
1) The available values are 7 and 12, the difference between them is 5, which is over 2 days (day 4 and 6), so that's a growth rate of 2.5. Using that you can get the other values. Watch out that not all days are in the table, some are left out.
2) The value that is added every day is the growth rate 2.5, see prev. question.
3) Since the value at day 0 is negative, the seed must have been underground. It's all about where h=0 is defined, which logically is the top of the soil.
4) The height is the number of days multiplied by the growth rate h=2.5d, then you have to correct it for the fact that it is underground, hence h=2.5d -3.
5) domain is all possible input values, i.e., days. Days start at 0, what happened before is not relevant, and it can go on forever, hence [0, infinity).
range is all possible outcomes for the height. This starts at -3 and then theoretically extends forever. In reality, the plant will not reach infinite height ofcourse.
