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Mathematics 16 Online
OpenStudy (anonymous):

The graph shows the production of cars per day at a factory during a certain period of time. What is the domain of this function during this period? Graph of days versus cars. Points are plotted at the following coordinates: 0 comma 0, 1 comma 50, 2 comma 100, 3 comma 150, 4 comma 200, 5 comma 250, 6 comma 300, 7 comma 350, 8 comma 400, 9 comma 450. The domain is all real numbers 0 through 9. The domain is all integers 0 through 9. The domain is all positive real numbers. The domain is all positive integers.

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

Look at the points on the graph. What is the x coordinate of each point?

OpenStudy (anonymous):

1,2,3,4,5,6...etc? I really don't know, I missed this lesson :/

jimthompson5910 (jim_thompson5910):

0 as well

OpenStudy (anonymous):

I was correct?

jimthompson5910 (jim_thompson5910):

so the domain is the set of all of those x values put together {0,1,2,3,4,5,6,7,8,9} it is the set of allowed inputs

OpenStudy (anonymous):

So

OpenStudy (anonymous):

I think it's A or B.

jimthompson5910 (jim_thompson5910):

saying something like ` The domain is all positive integers.` is false because x = 12 for instance is NOT part of the domain. It stops at x = 9

jimthompson5910 (jim_thompson5910):

What is the difference between `real numbers` and `integers` ?

OpenStudy (anonymous):

Integers are numbers that are both positive and negative

jimthompson5910 (jim_thompson5910):

is something like 12.5 an integer ?

OpenStudy (anonymous):

Yes?

jimthompson5910 (jim_thompson5910):

no, 12.5 isn't a whole number it has the fractional/decimal part 0.5

jimthompson5910 (jim_thompson5910):

12 is but 12.5 is not

jimthompson5910 (jim_thompson5910):

integers are whole numbers real numbers are any decimal number, fractional number, etc you can think of

OpenStudy (anonymous):

Negative and Positive?

jimthompson5910 (jim_thompson5910):

integers can be either positive or negative, yes but they are also whole numbers too

OpenStudy (anonymous):

I think it's A.

jimthompson5910 (jim_thompson5910):

is there a point with say x = 7.2 ? 7.2 is a real number between 0 and 9

OpenStudy (anonymous):

No. At least I don't think so due to 7.2 is not a Whole Number.

jimthompson5910 (jim_thompson5910):

the points given in the graph only have x coordinates that are whole numbers, ie integers

jimthompson5910 (jim_thompson5910):

the domain is actually the set of 0 through 9 where every number in this set is a whole number or integer

jimthompson5910 (jim_thompson5910):

x = 3 is allowed but x = 3.7562 is not allowed. There are gaps between the different numbers

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