exam Maths Puzzle Numerical Ability

I am not sure how to determine if a relation is a function and my texbook does not give a good example. Please help!
x^2=1+y^2

Thank you.

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exam Other Question

Solve by graphing. Indicate whether each system is independent, inconsistent, or dependent.

3x - y = 4
3x - y = 0
2 - 4x + 7x + 8 < 6x - 5x