Sec. 2.2 cont.

Piecewise Functions A function defined by 2 or more equations over a specified domain. Think about it as pieces of different functions put together.

Ex. 4 Evaluate the function when x = -1, 0, and 1

Ex. a) Evaluate for x = 0, 2, &4 x ≤ 2 x > 2

b) Evaluate x = 0, 3, 5 x < 2 2 ≤ x ≤ 4 x > 4

Domain of a Function Described Explicitly or implied

F: {(2, 3) (4, 2) (5, 3)} What is the domain? This domain is explicit. It comes right out and tells you what it is.

Implied domain Set of all real numbers for which the expression is defined.

Ex. a) b) c)

In General  

Ex. 5 Find the domain f:{(-3, 0) (-1, 4) (0, 2) (2, 2) (4, -1)} b) c)

Ex. 9 p. 193 For find