 1. Given this relation:  {(2, -1), (4, -1), (3, 2), (5, 1), (4, 2), (5, 1)}  Domain?  Range?  Function or Not? Explain why?  2. Convert these to Interval Notation  x < 6  2 ≤ x < 5

 1. Given this relation:  {(2, -1), (4, -1), (3, 2), (5, 1), (4, 2), (5, 2)}  Domain? {2,3,4,5}  Range? {-1,1,2}  Function or Not? NO, duplicated “x” values  2.  x < 6 in interval notation (-∞, 6)  2 ≤ x < 5 in interval notation [2, 5)

 I can determine Domain and Range from a Continuous Graph  I can identify a discrete and continuous function

 A function with ordered pairs that are just points and not connected. OR  A line or curve that has a break or hole.

 A function is continuous if it forms a smooth line or curve.  Simply put: It has NO BREAKS!!!  You should be able to trace it with your pencil from left to right without picking up your pencil 7

x y 4 -4 The domain of the function y = f (x) is the set of values of x for which a corresponding value of y exists. The range of the function y = f (x) is the set of values of y which correspond to the values of x in the domain. Domain Range

x y – 1 1 Example: Find the domain and range of the function f (x) = from its graph. The domain is [–3,∞). The range is [0,∞). Range Domain (–3, 0)