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ChatGPT
Aug 25
The given equation represents a circle with center (-2, 3) and radius 3.
Domain: The x-values can range from -5 to 1, so the domain is [-5, 1].
Range: The y-values can range from 0 to 6, so the range is [0, 6].
Domain: The x-values can range from -5 to 1, so the domain is [-5, 1].
Range: The y-values can range from 0 to 6, so the range is [0, 6].
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Google Gemini AI
Aug 25
Domain:
The expression (x^2)^2 is defined for all real numbers x. Similarly, the expression (y-3)^2 is also defined for all real numbers y. Therefore, the domain of the entire expression is:
Domain: All real numbers
Range:
The expression (x^2)^2 = x^4 is always positive, since the square of a number is always positive. Similarly, the expression (y-3)^2 is also positive for all real numbers y. However, the expression 9 is a constant. Therefore, the range of the entire expression is:
Range: 9
The expression (x^2)^2 is defined for all real numbers x. Similarly, the expression (y-3)^2 is also defined for all real numbers y. Therefore, the domain of the entire expression is:
Domain: All real numbers
Range:
The expression (x^2)^2 = x^4 is always positive, since the square of a number is always positive. Similarly, the expression (y-3)^2 is also positive for all real numbers y. However, the expression 9 is a constant. Therefore, the range of the entire expression is:
Range: 9
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