1. PIECEWISE DEFINED FUNCTIONS
2.3
PIECEWISE DEFINED FUNCTIONS
Functions Modeling Change: A Preparation for Calculus, th Edition, 2011, Connally

2. A Piecewise Defined Function
Example
A function may employ different formulas on different parts of its domain. Such a function is said to be piecewise defined. For example, the function graphed has the following formulas: y
y = x2
y = 6 - x x
Functions Modeling Change: A Preparation for Calculus, th Edition, 2011, Connally

4. (a)
(b)
Domain: t > 0
Range: C ≥ 99

5. The Absolute Value Function
The Absolute Value Function is defined by
Functions Modeling Change: A Preparation for Calculus, th Edition, 2011, Connally

6. Graph of y = |x|
The Domain is all real numbers, The Range is all real nonnegative numbers.
(-3,3)
(3,3)
(2,2)
(-2,2)
(-1,1)
(1,1)
(0,0)
Functions Modeling Change: A Preparation for Calculus, th Edition, 2011, Connally