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To find the domain or range, solve for a variable and see if the other variable has any restrictions on it. In this case, x2 + y = 4

y = 4 - x2

There are no restrictions on x, therefore x is in the domain of all real numbers.

x = square root(4 - y)

Since the argument (number in brackets) of a square root must be positive, 4 - y > 0, y < 4.

Domain: x can be all real numbers.

Range: y can be all real numbers less than or equal to 4.

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Q: What is the Domain and range of x 2 plus y equals 4?
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