81
SECTION 2.4 Library of Functions; Piecewise-defined Functions
Figure 28
Properties of f(x) 1 x
y
6
(1, 1)
(4, 2)
1. The domain and the range are the set of nonnegative real numbers.
2. The x-intercept of the graph of f1x2 = 1x is 0. The y-intercept of

86
CHAPTER 2 Functions and Their Graphs
(b) To find the domain of f, look at its definition. Since f is defined for all x greater
than or equal to - 3, the domain of f is cfw_x|x - 3, or the interval 3-3, q 2.
(c) The y-intercept of the graph of the funct

66
CHAPTER 2 Functions and Their Graphs
Applications and Extensions
29. Free-throw Shots According to physicist Peter Brancazio,
the key to a successful foul shot in basketball lies in the arc
of the shot. Brancazio determined the optimal angle of the
arc