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Exploring Functions: Positive and Negative Values Analysis

Discover the significance of positive and negative values in functions, including changes in concavity and critical points. Learn how to interpret f'(c), f''(c) properties for better understanding.

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Exploring Functions: Positive and Negative Values Analysis

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  1. Summary of 3.2 and 3.3

  2. Summary Positive Negative N/A N/A N/A N/A Positive Negative

  3. Summary f '(c) = 0 or undefined f '(c) = 0 or undefined N/A & f '(x) changes from positive to negative values at x = c & f '(x) changes from negative to positive values at x = c f ''(c) = 0 or undefined f ''(c) is positive or 0 f ''(c) is negative or 0 & f '' (x) changes concavity at x = c

  4. Summary – – – + + + 0 – – + + 0 0 0

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