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Example 5: Functions Within a Closed Interval

Let g be the function whose domain is the closed interval [1, 2] with the rule

g(x) = x2.

The domain and rule can be written in concise form with an equation and extra inequalities,

g(x) = x2,     1 ≤ x ≤ 2.

Note that

g(0) is undefined,     g(1) = 1,

g(2) = 4,     g(3) is undefined.

The graph is described by the formulas

y = x2, 1 ≤ x ≤ 2

and is drawn in Figure 1.2.7.

01_real_and_hyperreal_numbers-37.gif

Figure 1.2.7


Last Update: 2006-11-14