The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)x. What is the multiplicative rate of change of the function?

In an exponential function, the multiplicative rate of change is the factor multiplied by the output whenever x increases by 1. Here, each output is half the previous one: 10 to 5, then 5 to 2.5. The factor is 0.5, so the multiplicative rate of change is 0.5.

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