Chapter Sixteen — Graphing Functions

The Humongous Book of Algebra Problems

353

Note: Problems 16.7–16.8 refer to the function .

16.8 Graph g(x) using the table of values completed in Problem 16.7.

According to the table of values in Problem 16.7, the graph of g(x) passes

through the following points: , (–2,–1), (–1,–2), (1,2), (2,1), and .

Additional points may be used to determine the shape of the graph, illustrated

in Figure 16-4, if necessary.

Figure 16-4: The graph of .

There’s

a better way to

graph functions with

x in the denominator.

Check out Problems

16.30, 16.33, and

16.34.

Unless

you already

knew that functions

with a denominator

of x looked like Figure

16-4, the six points you

got from the table

of values probably

aren’t enough to draw

the graph. When that

happens, pick more

values of x (like –4, –5,

–6, 4, 5, and 6) and plot

more points.

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