Question

Graph x2 + 9y2 = 25. What are the domain and range?(1 point)
Responses

graph of circle intercepts threeThe circle passes through the points left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 3 comma 0 right-parenthesis, left-parenthesis 0 comma negative 3 right-parenthesis, and left-parenthesis negative 3 comma 0 right-parenthesis.
Domain: –3 ≤ x ≤ 3
Range: –3 ≤ y ≤ 3
Image with alt text: graph of circle intercepts three The circle passes through the points left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 3 comma 0 right-parenthesis, left-parenthesis 0 comma negative 3 right-parenthesis, and left-parenthesis negative 3 comma 0 right-parenthesis. Domain: –3 ≤ x ≤ 3 Range: –3 ≤ y ≤ 3

graph of circle intercepts fiveThe circle passes through the points left-parenthesis 0 comma 5 right-parenthesis, left-parenthesis 5 comma 0 right-parenthesis, left-parenthesis 0 comma negative 5 right-parenthesis, and left-parenthesis negative 5 comma 0 right-parenthesis.
Domain: –5 ≤ x ≤ 5
Range: –5 ≤ y ≤ 5

Image with alt text: graph of circle intercepts five The circle passes through the points left-parenthesis 0 comma 5 right-parenthesis, left-parenthesis 5 comma 0 right-parenthesis, left-parenthesis 0 comma negative 5 right-parenthesis, and left-parenthesis negative 5 comma 0 right-parenthesis. Domain: –5 ≤ x ≤ 5 Range: –5 ≤ y ≤ 5

graph of ellipseThe ellipse is symmetric about the x-axis and the y-axis. It passes through the points left-parenthesis 0 comma 1.5 right-parenthesis, left-parenthesis 5 comma 0 right-parenthesis, left-parenthesis 0 comma negative 1.5 right-parenthesis, and left-parenthesis negative 5 comma 0 right-parenthesis.
Domain: –5 ≤ x ≤ 5
Range: –1.67 ≤ y ≤ 1.67
Image with alt text: graph of ellipse The ellipse is symmetric about the x-axis and the y-axis. It passes through the points left-parenthesis 0 comma 1.5 right-parenthesis, left-parenthesis 5 comma 0 right-parenthesis, left-parenthesis 0 comma negative 1.5 right-parenthesis, and left-parenthesis negative 5 comma 0 right-parenthesis. Domain: –5 ≤ x ≤ 5 Range: –1.67 ≤ y ≤ 1.67

graph of ellipseThe ellipse is symmetric about the x-axis and the y-axis. It passes through the points left-parenthesis 0 comma 5 right-parenthesis, left-parenthesis 1.5 comma 0 right-parenthesis, left-parenthesis 0 comma negative 5 right-parenthesis, and left-parenthesis negative 1.5 comma 0 right-parenthesis.
Domain: –1.67 ≤ x ≤ 1.67
Range: –5 ≤ y ≤ 5
Image with alt text: graph of ellipse The ellipse is symmetric about the x-axis and the y-axis. It passes through the points left-parenthesis 0 comma 5 right-parenthesis, left-parenthesis 1.5 comma 0 right-parenthesis, left-parenthesis 0 comma negative 5 right-parenthesis, and left-parenthesis negative 1.5 comma 0 right-parenthesis. Domain: –1.67 ≤ x ≤ 1.67 Range: –5 ≤ y ≤ 5
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Answered by oobleck
wrong again
x^2 + 9y^2 = 25
x^2/5^2 + y2/(5/3)^2 = 1
domain: -5 <= x <= 5
range -5/3 <= y <= 5/3
Answered by GPT 3.5
Domain: -3 ≤ x ≤ 3
Range: -3 ≤ y ≤ 3
Answered by GPT 3.5
I apologize for the mistake. The correct domain and range for the equation x^2 + 9y^2 = 25 are as follows:

Domain: -5 ≤ x ≤ 5
Range: -5/3 ≤ y ≤ 5/3

Thank you for pointing out the error.