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Intervals of Increase and Decrease
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Trace the function left to right.
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The green intervals are going "up" and the blue interval is going "down".
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3 The green intervals are going "up" and the blue interval is going "down". B A C D Is "up" and "down" vertical or
horizontal concepts? A. Vertical B. Horizontal
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The green intervals are going "up" and the blue interval is going "down".
Is "up" and "down" vertical or
horizontal concepts? A. Vertical B. Horizontal
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Vertical concepts ( ) are named on horizontal intervals( ).
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Let's put in coordinates for the local max.
(15,20)
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Let's put in coordinates for the local min.
(15,20) (22,4)
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Let's put in coordinates for the inflection point.
(15,20) (32,20) (22,4)
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Let's put in coordinates for the endings.
(∞,∞) (15,20) (32,20) (22,4) (-∞,-∞)
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Let's x out what we don't need.
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On what interval(s) does this function increase?
Interval of Increase
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On what interval(s) does this function increase?
Interval of Increase (-∞,15)∪(22,∞)
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On what interval(s) does this function decrease?
Interval of Decrease
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On what interval(s) does this function decrease?
Interval of Decrease (15,22)
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Let's do another function
(8, 50) (24, 50) (16, 32) (-6, 20)
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If you were to give this ending coordinates, what would they be?
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If you were to give this ending coordinates, what would they be?
(-∞,∞)
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If you were to give this ending coordinates, what would they be?
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If you were to give this ending coordinates, what would they be?
(∞,-∞)
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Trace the function to find the intervals of increase and decrease.
Interval of Decrease Interval of Increase
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Let's x out what we don't need.
Interval of Decrease Interval of Increase
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What is the interval of decrease?
Interval of Increase
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What is the interval of increase?
Interval of Decrease Interval of Increase (-∞,-6)∪(8,16)∪(24,∞)
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Let's determine the increasing and decreasing intervals for this function.
(-18,16) (17,7) (12,5) (-10,5) (20,5) (14,-1)
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What type of interval is this?
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What type of interval is this?
Constant Interval
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Trace the function. (-18,16) (17,7) (12,5) (-10,5) (20,5) (14,-1)
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Put in coordinates of the ending.
(-18,16) (∞,-∞) (17,7) (12,5) (-10,5) (20,5) (14,-1) (-∞,-∞)
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out what is not needed. (∞,-∞) (-∞,-∞) (-18,16) (17,7) (12,5) (-10,5)
(20,5) (14,-1) (-∞,-∞)
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Interval of Decrease Interval of Increase
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Interval of Decrease Interval of Increase (-18,-10)∪(12,14)∪(17,20)
(-∞,-18)∪(14,17)∪(20,∞)
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