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Pre-Calculus – Exponential Functions: From Graphs to Equations Remember, the general form of an exponential function is y = a bx. Find an equation for the following graphs of exponential functions: Example 1 Example 2 On Your Own… 1. Name_____________________ 2. 3. A population of fish in a certain pond starts at 200. After 5 years, the population has increased to 6400 fish. Find an equation to represent the total population of fish in pond over x years. 4. A child diagnosed with an ear infection is given a prescription for antibiotics. The initial dose is 50 mg. After 2 hours, her body has metabolized 30% of the drug. Find an equation to model the amount of the drug in her body x hours after the initial dose.