4x^2+4y^2=64

what are the domain and range

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03-12-2016
Mathematics

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4x^2+4y^2=64

what are the domain and range

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jimthompson5910 jimthompson5910 · Answer 1 · 2016-12-03T00:32:01-05:00

Use a graphing tool and you'll see a circle form. This circle has a center of (0,0) and radius of 4. Side note: this equation is equivalent to x^2+y^2 = 16 after you divide everything by 4

Looking at the graph, the smallest x can be is -4. The largest x can be is 4. So the domain in interval notation is \([-4,4]\)

Similarly the range in interval notation is also \([-4,4]\) because the lowest you can go is y = -4. The highest you can go is y = 4

4x^2+4y^2=64what are the domain and range

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4x^2+4y^2=64

what are the domain and range