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

Use the graph of to sketch the graph of

*.*

Graph the function and identify the zeros (

*-intercepts).*

For the reciprocal function,

Sketch the vertical asymptotes.

Upward parabola, vertex at (0, comma negative 4), x intercepts at negative 2 & 2, dashed vertical segments at x = negative 2 and x = 2.

Mark the places where or

Added approximate highlighted points on parabola, (negative 2.2, comma 1), (2.2, comma 1), (negative 1.7, comma negative 1), & (1.7, comma negative 1).

The reciprocal at the point

Draw a smooth curve from it to where is marked and to where

*is marked.*

Added, downward curve between highlighted points below x axis, going through the point (0, comma 1 fourth).

When the -values of the original function are small,

Added, 4 almost vertical curves, from each of the highlighted points above x axis, to infinity, and from each of the highlighted points below the x axis, to negative infinity.

When the -values of the original function are large,

Added, upward curves from approximate point, (negative 2.2, comma 1), going left above x axis, from approximate point (2.2, comma 1), going right above x axis.