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Real-life examples of nonlinear functions include the relationship between distance and time for an accelerating car, where the distance traveled increases quadratically with time. Another example is the growth of populations, often modeled by exponential functions, where populations can grow rapidly under ideal conditions. Additionally, the trajectory of a thrown ball follows a parabolic path, demonstrating a nonlinear relationship between height and horizontal distance. Lastly, the relationship between the intensity of an earthquake and the damage caused is often modeled using a logarithmic scale, illustrating nonlinear dynamics.

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