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Domain and Range Domain- x-values - input Range- y-values - output D comes before R like x comes before y
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Domain and Range: Points
Find the domain and range: {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)} domain: {2, 3, 4, 6} range: {–3, –1, 3, 6}
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Interval Notation Uses:
Are used when there is a open dot or the number is NOT included on the graph. Are used when there is a closed dot or when the number is included on the graph.
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Domain and Range: Graph
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Domain and Range: Graph
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Domain and Range: Graph
Special case: When there is an open circle and closed circle on the same number – go with the closed circle.
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Domain and Range: Graph
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Domain and Range: Graph
** When there are no dots – assume there are arrows and the graphs continues in that direction
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You try!!
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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)
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ZEROS are the same thing as the X-INTERCEPTS.
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Name the zeros. (-4, 0) and (3, 0)
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Name the Y-INTERCEPT. (0, -4)
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Increasing & Decreasing
MOVE LEFT TO RIGHT If your finger is going up, the graph is INCREASING If your finger is going down, the graph is DECREASING If your finger goes neither up or down…then the graph is CONSTANT
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Increasing and Decreasing
To find where the graph is increasing and decreasing trace the graph with your FINGER from left to right.
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Increasing, Decreasing, or Constant?
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Characteristics Domain: Range: Intercepts: Increasing or Decreasing?
x-int: y-int: Increasing or Decreasing?
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