1. Find the solutions.
Find the Vertex and Max
(-1, 0) (5, 0)
(2, 10)

2. All reals All reals (-2, 0) (1, 0) (0, -4) Find the following
3. Domain:
4. Range:
5. Zeros:
6. y-intercepts:
All reals
All reals
(-2, 0) (1, 0)
(0, -4)

3. Find the following:
7. Domain and Range:
8. Zeros and y intercept:
9. Min

4. Domain and Range: Graph
Look horizontally: What x-values are contained in the graph? That’s your domain!
Look vertically: What y-values are contained in the graph? That’s your range!

5. Domain and Range: Graph

6. Domain and Range: Graph

7. Domain and Range: Graph
(-4,-3)

8. Maximum and Minimum
Maximum value: the highest y value seen in the data or on the graph.
Minimum value: the lowest y value seen in the data or on the graph.

9. Max and Min: Graph

10. Zeros: Graph

11. Max and Min: Graph

12. Increasing and Decreasing: Graph
To find where the graph is increasing and decreasing trace the graph with your finger from left to right. Specify x-values!
If your finger is going up, the graph is increasing.
If your finger is going down, the graph is decreasing.

13. Increasing and Decreasing

14. Increasing and Decreasing

15. Increasing and Decreasing

16. End Behavior: Graph
The value a function, f(x), approaches when x is extremely large (∞) or when x is extremely small (-∞).

17. End Behavior -∞ ∞

18. End Behavior

19. Average Rate of Change
The average range of change between any two points (x1,f(x1)) and (x2,f(x2)) is the SLOPE of the line through the 2 points.

20. Example 1
Find the average rate of change of f(x) = x3 – 3x when x1= -2 and x2 = 0.