1. The graph below represents Maria’s distance from home one day as she rode her bike to meet friends and do a couple of errands for her mom before returning home. 1.What do the horizontal lines on the graph represent? 2.Where in the graph shows her taking care of the 2 errands? 3.Compare how she traveled at the beginning to how she traveled at the very end. 4.Create Maria’s story so that it matches the graph.

2. Characteristics of Functions

3. NotationNotation Interval – represents an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included Set – using inequalities to describe the values

4. InterceptsIntercepts x-intercept – the point at which the line intersects the x-axis at (x, 0) y-intercept – the point at which the line intersects the y-axis at (0, y)

5. Find the x and y intercepts, then graph. -3x + 2y = 12

6. Increasing, Decreasing, or Constant Sweep from left to right and notice what happens to the y-values Increasing goes up (L to R) Decreasing falls down (L to R) Constant is a horizontal graph

7. Picture Example

8. Example:

9. Continuous vs Discontinuous Continuous has NO breaks Discontinuous has gaps or breaks

10. Picture Example of Continuous

11. Picture Example of Discontinuous

12. Discrete Function - A function that is defined only for a set of numbers that can be listed, such as the set of whole numbers or the set of integers. (The points are not connected

13. ExtremaExtrema Minimum Point – least value of the function. Lowest Point. Maximum Point – greatest value of the function. Highest Point

14. Picture Example

15. Example

16. Domain & Range Domain – all x-values of a function Range – all y-values of a function

17. Picture Example

18. Ecample

19. AsymptoteAsymptote A line that a graph gets closer and closer to, but never crosses or touches

20. Example

21. CharacteristicsCharacteristics 1.Domain: 2.Range: 3.Intercepts: 4.Increasing or Decreasing? 5.Maximum or Minimum?

22. CharacteristicsCharacteristics 1.Domain: 2.Range: 3.Intercepts: 4.Increasing or Decreasing? 5.Maximum or Minimum? 6.Horizontal Asymptote:

23. ClassworkClasswork Characteristics of Functions Worksheet 5 problems Characteristics of Functions Worksheet 5 problems

24. HomeworkHomework Characteristics of Functions Worksheet 6 problems Characteristics of Functions Worksheet 6 problems