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

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Presentation on theme: "1.Find the solutions. 2.Find the Vertex and Max (-1, 0) (5, 0) (2, 10)"— Presentation transcript:

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

2 Find the following 3. Domain: 4. Range: 5. Zeros: 6. y-intercepts: 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

7 (-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

15

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 (x 1,f(x 1 )) and (x 2,f(x 2 )) is the SLOPE of the line through the 2 points.

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


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