Determine if x2+y2=9
is a function by graphing and using the Vertical Line Test.(1 point)
Responses
This equation is a function
This equation is a function
This equation is NOT a function
1 answer
Yes, the equation x^2 + y^2 = 9 is NOT a function. By graphing the equation, we can see that it represents a circle centered at the origin with a radius of 3. When using the Vertical Line Test, we can see that a vertical line can intersect the circle at multiple points, indicating that there are multiple y-values for a given x-value, making it not a function.
1 answer