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What is the Domain and range?

Domain:

Domain in interval notation:   [0, infinity)

This is because the domain is the set of all allowed x inputs. In this case, x = 0 is the smallest and we include this endpoint. Any x value x = 0 or larger is part of the domain (since the graph stretches' on forever to the right)

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Range:  

Range in interval notation:   [2, infinity)

For similar reasoning as the domain, but now we consider the possible y output values. Here y = 2 is the smallest and we include it. Note the square bracket for interval notation means "include this endpoint". The curved parenthesis means "exclude this endpoint"

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

step-by-step explanation:

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