Warm-up
• 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
Warm-up
• 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)
Objectives•I can determine Domain and Range from a Continuous Graph
•I can identify a discrete and continuous function
Continuous Functions??
• A function is continuous if it has an infinite domain and 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
8
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,∞).
3x
Range
Domain
(–3, 0)