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Home  Continuous Functions Properties of Continuous Functions Examples Example 1: Intermediate Value Theorem |
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Example 1: Intermediate Value Theorem
The function
which is shown in Figure 3.8.8, is continuous for 0 ≤ x ≤ 1. Moreover, f(0)=l, f(1) = ½ - 3 = -2½. The Intermediate Value Theorem shows that f(x) has a zero f(c) = 0 for some c between 0 and 1.
Figure 3.8.8
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Last Update: 2006-11-15