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5-7.

No CalculatorUse the graph of to sketch the graph of without using a graphing calculator. State the equations of the asymptotes in the graph of .    Homework Help ✎

Note: This problem was updated from its original version, which was a repeat of a problem in the reciprocal functions lesson.

Graph the function and identify the zeros (-intercepts).
For the reciprocal function, is undefined, so these are the locations of the vertical asymptotes.
Sketch the vertical asymptotes.

Mark the approximate places where or . These points do not change because and .

The reciprocal at the point is . Mark it.
Draw a smooth curve from it to where is marked and to where is marked.

When the -values of the original function are small,  is a ± large number. Show this on your graph.

When the -values of the original function are large, is a small number. Show this on your graph.