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.
What do the horizontal lines on the graph represent?
Where in the graph shows her taking care of the 2 errands?
Compare how she traveled at the beginning to how she traveled at the very end.
Create Maria’s story so that it matches the graph.

2. Review HW

3. Characteristics of Functions

4. Notation
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

5. Intercepts
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)

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

7. 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

8. Picture Example

9. Example:

10. Continuous vs Discrete
Continuous has NO breaks
Discrete has gaps or breaks

11. Picture Example of Continuous

12. Picture Example of Discontinuous

13. Extrema 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. Asymptote
A line that a graph gets closer and closer to, but never crosses or touches

20. Example

21. Characteristics Domain: Range: Intercepts: Increasing or Decreasing?
Maximum or Minimum?

22. Characteristics Domain: Range: Intercepts: Increasing or Decreasing?
Maximum or Minimum?
Horizontal Asymptote:

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

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