Page 8 - Module 1 in MATH 1 (Calculus)
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B. Definition of Graph of a Function:
EXAMPLE 3:
(a) Consider the function ( ) = | | (absolute value of ). Its graph is the graph of the equation
= | |, shown in Fig. 2. Notice that ( ) = when > , whereas ( ) = − when < .
The domain of consists of all real numbers, but the range is the set of all non-negative real
numbers.
Figure 2.
(b) The formula ( ) = + defines a function . The graph of this function is the graph of
the equation = + , which is the straight line in . 3 with slope 2 and y intercept 3. The
set of all real numbers is both the domain and range of . (Recall the equation of line = +
, is called the slope and is called the − ).
Figure 3.
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