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Published byTroy Seward Modified over 9 years ago
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Find the solutions. Find the Vertex and Max (-1, 0) (5, 0) (2, 10)
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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)
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Find the following: 7. Domain and Range: 8. Zeros and y intercept: 9. Min
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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!
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Domain and Range: Graph
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Domain and Range: Graph
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Domain and Range: Graph
(-4,-3)
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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.
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Max and Min: Graph
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Zeros: Graph
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Max and Min: Graph
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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.
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Increasing and Decreasing
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Increasing and Decreasing
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Increasing and Decreasing
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End Behavior: Graph The value a function, f(x), approaches when x is extremely large (∞) or when x is extremely small (-∞).
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End Behavior -∞ ∞
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End Behavior
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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.
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Example 1 Find the average rate of change of f(x) = x3 – 3x when x1= -2 and x2 = 0.
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