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: (b) domain:

Explanation:

Step1: Identify domain definition

Domain is the set of all possible input values (x - values). Here, x - axis is time in minutes.

Step2: Determine domain range

The time starts at 0 minutes and ends at 45 minutes. So, $0\leq x\leq45$.

Step3: Identify range definition

Range is the set of all possible output values (y - values). Here, y - axis is the amount of water in liters.

Step4: Determine range range

The amount of water starts at 30 liters and ends at 0 liters. So, $0\leq y\leq30$.

Answer:

(a) range: $0\leq y\leq30$
(b) domain: $0\leq x\leq45$