77456
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Exponential Decay Functions

Question 77456 • High School Math 2 A

How do the graphs of the functions f(x) = ()x and g(x) = ()x compare?

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Answer

Answer:

The graphs of f(x) = (3/2)^x and g(x) = (2/3)^x are reflections of each other over the y-axis. The function f(x) represents exponential growth because the base 3/2 is greater than 1, while g(x) represents exponential decay because the base 2/3 is between 0 and 1. Both functions have the same y-intercept at (0, 1).

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