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3-6 Critical Points and Extrema
5 minute check Tell which type of discontinuity : jump, hole, infinite.
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Vocabulary Critical Points – points on a graph in which a line drawn tangent to the curve is horizontal or vertical Maximum Minimum Point of Inflection
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Maximum When the graph of a function is increasing to the left of x = c and decreasing to the right of x = c.
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Minimum When the graph of a function is decreasing to the left of x = c and increasing to the right of x = c
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Relative Extrema A maximum/minimum of a function in a specific interval. It is not necessarily the max/min for the entire function
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Sketch 2 graphs. One that has an absolute min and another with a relative min.
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