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Finding Discontinuities and Asymptotes for Given Functions

This warm-up problem guides you through identifying all discontinuities of a function within the interval (0,3). You'll explore the critical points where the function may not be defined or behaves unusually. Additionally, you will evaluate the asymptotes of the function, specifically at x = 0 and y = 7/3. Calculators are permitted for certain parts, while others require you to work without them, helping you practice your analytical skills and deepen your understanding of functions and their behaviors.

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Finding Discontinuities and Asymptotes for Given Functions

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  1. Warm up Problems • Find all discontinuities of • on (0,3).

  2. Calculators Allowed 1. C 2. B 3. C 4. x = .382, x = 2.618 5. 6. a) B = 500,000,000(1.1)tb) 18.799 days 7. a) asymptotes at x = 0 and y = 7/3 b)

  3. No Calculators • D 2. E 3. A 4. a) x = 9999 b) 5. a) b)

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