**Unformatted text preview: **Functions. Each graph in Figure 2.3 certainly represents a function—since each passes the vertical line test . In other words, as you sweep a vertical line across the graph of each function, the line never intersects the graph more than once. If it did, then the graph would not represent a function. Bounded. The graph in (c) appears to approach zero as x goes to both positive and negative inﬁnity. It also never exceeds the value 1 or drops below the value 0. Because the graph never increases or decreases without bound, we say that the function represented by the graph in (c) is a bounded function. DEFINITION 2.17 Bounded A function f is bounded if there is a number M such that | f ( x ) | < M for every x in the domain of f ....

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- Fall '07
- JonathanRogawski
- Math, Calculus, Derivative, Rate Of Change, Continuous function, Graph of a function, vertical line