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Describe and correct the error a student made in graph in the function y= 5/x

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Answer: The function y = 5/x is a reciprocal function, which means the graph of the function will be a hyperbola.

The error the student made could be in the following ways:

The student might have plotted the graph as a straight line instead of a hyperbola

The student might have neglected to reflect the graph across the y-axis, since the function is not defined for x = 0

The student might have not plotted the asymptotes of the graph. The graph will have vertical asymptotes at x = 0 and x = infinity.

To correct the error, the student should plot the graph as a hyperbola with vertical asymptotes at x = 0 and x = infinity. And also reflect the graph across the y-axis.

In case of any further doubts student should check with their teacher or a math reference book.

Explanation:

User Joshua Dannemann
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