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Question 128579: Find the domain and range of the following:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! 
Looking at the graph, notice how the graph extends to infinity in both directions in the x direction. So this shows us that there are no restrictions on the domain.
Since we don't have any restrictions on the domain, this shows us that the domain is all real numbers. In other words, we can plug in any in for x
So the domain of the function in set-builder notation is:
In plain English, this reads: x is the set of all real numbers (In other words, x can be any number)
Also, in interval notation, the domain is:
)
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From the graph, we can see that the lowest point is (0,-3). So the smallest that y can be is -3
So the range of the function in set-builder notation is:
In plain English, this reads: y is the set of all real numbers that are greater than or equal to -3
Also, in interval notation, the range is:
[-3, )
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