lecture3 - y x x

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Lecture 3: Elementary Functions Sec. 1.1 { 1.4 Def. A function f is a rule which assigns to each element x in set D exactly one element, called f ( x ), in a second set R . We write f : D ! R . Domain of f Range of f We deﬂne functions in several ways:

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Domain ex. Find the domain of each function: a) f ( x ) = 2 x ¡ 1 x 3 ¡ 4 x b) f ( x ) = p x 2 ¡ 3 x ¡ 18 ex. Consider the functions f ( x ) = x + 2 and g ( x ) = x 2 ¡ 4 x ¡ 2 . Are they equivalent functions?
ex. A closed box with a square base has a surface area of 128 square inches. Express the volume of the box as a function of the length of the edge of the base. What is its domain? x x y

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Def. The graph of a function f ( x ) is the set of ordered pairs ( x;y ) in the coordinate plane such that x is in the domain of f and y = f ( x ). Vertical Line Test A graph in the xy -plane represents a function of x if and only if no vertical line intersects the graph more than once. Sketch the following. Which represent y as a function of x ?
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This note was uploaded on 05/17/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.

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lecture3 - y x x

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