1. 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

2. 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)

3. Continuous Functions vs Discrete Functions Domain and Range
Chapter 2
Section 2-1
Pages 72-81

4. Objectives I can determine Domain and Range from a Continuous Graph
I can identify a discrete and continuous function

5. Important Vocabulary
Discrete Function
Continuous Function

6. A function with ordered pairs that are just points and not connected.
Discrete Function
A function with ordered pairs that are just points and not connected.

7. Discrete Function 7

8. 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

9. 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. x y 4 -4
Range
Domain
Domain & Range

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

11. Example 1

12. Example 2

13. Example 3

19. Homework
WS 1-5: Domain and Range