1. Warm- Up #38 Thursday, 1/7 2. Find the domain and range

2. Homework Thursday, 1/7 Domain and Range packet_Pg 3 and 4 NOTE: Sign up for Retake Take

3. Domain, Range, Discrete Function, and Continuous Function

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

5. Discrete and Continuous Data Discrete data can only take on certain individual values. Continuous data can take on any value in a certain range. Example 2 Length of a film is a continuous variable. Example 1 Number of pages in a book is a discrete variable. Example 3 Shoe size is a Discrete variable. E.g. 5, 5½, 6, 6½ etc. Not in between. Example 4 Temperature is a continuous variable. Example 5 Number of people in a race is a discrete variable. Example 6 Time taken to run a race is a continuous variable.

6. Volume of a cereal box Population of a town Number of goals in a season Number of matches in a box Length of a crocodile Shirt collar size Speed of a car Temperatur e of oven Discrete? Continuous? Group the following as either discrete or continuous data.

7. Volume of a cereal box Population of a town Number of goals in a season Number of matches in a box Length of a crocodile Shirt collar size Top speed of a car Temperatur e of oven DiscreteContinuous

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

9. Discrete Function

10. 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 10

11. 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 Domain & Range

12. In a continuous graph, to determine the DOMAIN, you should focus on looking left to right of the graph. In a continuous graph, to determine the RANGE, you should focus on looking bottom to top of the graph. We use interval notation to help us describe the domain and range for graphs that represent continuous situations.

13. Interval Notation < is less than  Open circle > is greater than  Open circle  is less than or equal to  closed circle  is greater than or equal to  closed circle

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

15. Example 1

16. Example 2

17. Example 3