SOLUTION: Hi again, John (I don't have the symbols)91311(3186)was nice enough to answer a question but I forgot to explain in detail. If I were to graph C(g)=3.03, what is domain and range?

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Question 190808: Hi again, John (I don't have the symbols)91311(3186)was nice enough to answer a question but I forgot to explain in detail. If I were to graph C(g)=3.03, what is domain and range? I goofed by not saying it was cost per gallon of gasoline. I'm playing beat the clock and I really didn't need to make such a dumb mistake. I guess I'm tired. Thanks for any help.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
I'm assuming that the formula is where "g" is the number of gallons of gas and C(g) is the total cost of gas.

Since the number of gallons of gas CANNOT be negative (it doesn't make sense if it could), this means that "g" must be 0 or some positive number. So this means that

So the domain is which looks like [) in interval notation.

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Now let's say that you don't buy any gas, what is the total cost? The total cost would be zero dollars. So the lowest that the cost can go is $0 (it can't be negative either).

So the cost can be $0 or some positive amount of money. This then makes also.

So the range is which looks like [) in interval notation.