Functions and Graphs

In exercises 1 - 3

a) Find the domain of the following functions by i) analyzing their graphs and ii) analytically analyzing the function.

b) Find the range of the following functions by analyzing their graphs.

1. f(x) = x2 - 2.		2.

3.

In exercises 4 and 5, sketch the graph of the piecewise defined functions .

4.

5.

6. Graph the function f(x) = x² - 4 and determine the interval(s) where f(x) > 0.

In exercises 7 - 9, determine the intervals over which the function is a) increasing, b) decreasing or c) constant.

7. f(x) = x2 -2x - 1	8.	9.