Question
determine if x^2+y^2=9 is a function by graphing
Answers
GPT 3.5
To determine if the equation x^2 + y^2 = 9 is a function, we can graph the equation and see if it passes the vertical line test. If any vertical line intersects the graph at more than one point, then the equation is not a function.
The graph of x^2 + y^2 = 9 is a circle centered at the origin with a radius of 3. Since a vertical line intersects the circle at two points (except at the top and bottom points), this means that the equation x^2 + y^2 = 9 is not a function.
Therefore, the equation x^2 + y^2 = 9 is not a function.
The graph of x^2 + y^2 = 9 is a circle centered at the origin with a radius of 3. Since a vertical line intersects the circle at two points (except at the top and bottom points), this means that the equation x^2 + y^2 = 9 is not a function.
Therefore, the equation x^2 + y^2 = 9 is not a function.