SOLUTION: Find the domain and range of the following:

Question 128577: 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 both the x-values and y-values are restricted. In other words, we cannot plug in x=10 (as it does not fall on the curve). So we can only plug in x-values from -4 to 4. So the domain is

which in set-builder notation is

In plain English, this reads: x is the set of all real numbers that are in between -4 and 4

Also, in interval notation, the domain is:

[-4,4]

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This also applies to the range. The range is also .

Which in set-builder notation is

In plain English, this reads: y is the set of all real numbers that are in between -4 and 4

Also, in interval notation, the range is:

[-4,4]

--------------------------

Summary:

So the domain and range are both [-4,4]

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