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Ation, y=-(1)/(x), find the y ndefined, enter undefined.

User Mawia
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Final answer:

The function y = -(1)/(x) does not have a defined y-value when x is 0, as this would require division by zero. Therefore, there is no y-intercept for this function because it has a vertical asymptote at x = 0.

Step-by-step explanation:

The question seeks to understand what the value of y is for the function y = -(1)/(x) at a given point, and, in case the value is not defined, the answer would be 'undefined'. The function given is a hyperbola, which has asymptotes that the graph will approach but never cross. Specifically, the vertical asymptote is at x = 0 because as x approaches 0, y approaches infinity, and thus the function is not defined at x = 0. The horizontal asymptote is at y = 0 because as x approaches infinity, y approaches 0.

To find the y-intercept of this function, we need to find the value of y when x is 0. However, for the function y = -(1)/(x), this is not possible as y becomes undefined when x is 0 due to division by zero. Therefore, the y-intercept for this particular function does not exist.

User Lyrk
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