Question

heather drained an aquarium. she took 45 minutes. the graph shows the amount of water (in liters) in the aquarium versus time (in minutes). find the range and the domain of the function shown. write your answers as inequalities, using x or y as appropriate. or, you may instead click on \empty set\ or \all reals\ as the answer. (a) range: 0 ≤ y ≤ 30 (b) domain: 0 ≤ x ≤ 45

Explanation:

Step1: Identify domain definition

Domain is the set of all possible input values (x - values). Here, x represents time in minutes. The draining process starts at $x = 0$ minutes and ends at $x = 45$ minutes.

Step2: Identify range definition

Range is the set of all possible output values (y - values). Here, y represents the amount of water in liters. The aquarium starts with 225 liters of water ($y = 225$) and ends with 0 liters of water ($y = 0$).

Answer:

(a) range: $0\leq y\leq225$
(b) domain: $0\leq x\leq45$