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Find the solutions. Find the Vertex and Max

Find the solutions. Find the Vertex and Max. (-1, 0) (5, 0). (2, 10). Find the following 3. Domain: 4. Range: 5. Zeros: 6. y-intercepts:. All reals. All reals. (-2, 0) (1, 0). (0, -4). Find the following: 7. Domain and Range: 8. Zeros and y intercept: 9. Min.

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Find the solutions. Find the Vertex and Max

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  1. Find the solutions. • 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 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 changebetween 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.

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