III. Working With A Graph

E. TABLE

The TABLE function is more versatile than TRACE in evaluating a function because you are not restricted to any range of values.

Example 1: Graph the function shown below and then use TABLE to evaluate the function.

Enter the function.
Graph with ZDECM.
Evaluate with the
TABLE .

One valuable use of TABLE is to examine the behavior of a function right around certain values, or to look at extremely large values of x. This is useful in both algebra and calculus when analyzing the behavior of functions around vertical and horizontal asymptotes.

Example 2: Look at values of the function very close to x=2, and then look at values of x as it increases in value.

Enter the
function.
Graph with
ZDECM.
Evaluate close
to x=2.
Evaluate for
large values.

Use a table to evaluate a function at values that are beyond the range of [Xmin, Xmax].

A. y(x)
B. MATH
C. FORMAT
D. EVAL
E. TABLE
F. TRACE
G. ZOOM