AP Calc AB - Characteristics of Graphs
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Last updated 8:47 PM on 9/21/22
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15 Terms
1
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Concave Up: graph of f(x)
2
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Concave Up: behavior of f''(x)
f"(x) is positive
3
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Concave Up: behavior of f'(x)
f'(x) is increasing
4
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Concave down: graph of f(x)
5
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Concave down: behavior of f''(x)
f"(x) is negative
6
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Concave down: behavior of f'(x)
f'(x) is decreasing
7
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Critical values
f'(x) = 0; f'(x) = Undefined
8
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Intervals in which f(x) is decreasing: behavior of f'(x)
f'(x) is negative
9
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Intervals in which f(x) is increasing: behavior of f'(x)
f'(x) is positive
10
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Point of Inflection: behavior of f'(x)
f'(x) is a relative minimum or relative maximum
11
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Point of Inflection: behavior of f''(x)
f"(x) changes sign
12
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Relative Maximum: behavior of f'(x)
f'(x) changes from positive to negative
13
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Relative Maximum: behavior of f(x)
f(x) changes from increasing to decreasing
14
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Relative Minimum: behavior of f'(x)
f'(x) changes from negative to positive
15
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Relative Minimum: behavior of f(x)
f(x) changes from decreasing to increasing
