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Hyperbola as a graph of a function

The hyperbola as a graph of the function f:
For the basic set: G = ℚ×ℚ

Which of the following statements are correct?

To find the solution, move xP on the
x-axis and the parameter k.

D: x∈ℚ R: y∈ℚ
D: x∈ℚ , x≠0 R: y∈ℚ , y>0
R: y∈ℚ , y≠0 Arectangle = |k| cm2
The graph is axisymmetric
The graph is point symmetric