### Home > PC > Chapter 5 > Lesson 5.2.3 > Problem 5-74

5-74.

Graph the *y* = function and identify the zeros (*x*-intercepts).

For the reciprocal function, 1/0 is undefined, so these are the locations of the vertical asymptotes.

Sketch the vertical asymptotes.

Mark the places where *y* = 1 or −1. These points do not change because 1/1 = 1 and 1/−1 = −1.

The reciprocal at the point (0, −4) is (0, −1/4). Mark it.

Draw a smooth curve from it to where *y* = −1 is marked and to where *y* = 1 is marked.

When the *y*-values of the original function are small, 1/(± small number) is a ± large number. Show this on your graph.

When the *y*-values of the original function are large, 1/large number is a small number. Show this on your graph.