Given a function y = 1 / x Do the points A (-0.1; 10) B (-0.2; -5) C (2; 0.5) belong to the graph of this function?

| June 29, 2021 | education

Consider the function y = 1 / x. At the request of the task, we find out whether points A (-0.1; 10), B (-0.2; -5), C (2; 0.5) belong to the graph of this function.
Consider point A (-0.1; 10). Let’s calculate and compare the result with the ordinate of the considered point: y = 1 / x = 1 / (-0.1) = -1 / (1/10) = -10 ≠ 10. Point A (-0.1; 10) does not belong to the graph of this function.
Consider point B (-0.2; -5). Let’s calculate and compare the result with the ordinate of the point in question: y = 1 / x = 1 / (-0.2) = -1 / (2/10) = -5. Point B (-0.2; -5) belongs to the graph of this function.
Consider the point C (2; 0.5). Let’s calculate and compare the result with the ordinate of the considered point: y = 1 / x = 1/2 = 0.5. Point C (2; 0.5) belongs to the graph of this function.



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