Example 3

A pendulum swings to 90% of its previous height. Pendulum A starts at a height of 50 centimeters. Its height at each swing is modeled by the function . The height after every fifth swing of Pendulum B is recorded in the following table. Compare the properties of each function over the interval [5, 15].
  1. Compare the -intercepts of each function.
  2. Compare the rate of change for each function over the interval [5, 15].
  3. Summarize your findings.
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