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  1. At , the function given by is

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Jan 03,2025

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时,函数 的值为 9。

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The Deep Dive

To evaluate the function at , we need to look at the piece of the function that applies when is equal to or greater than 3. Here, that piece is .
Substituting into that expression, we get:
Thus, at , the function evaluates to .
Now, let’s talk about some interesting aspects! Did you know that piecewise functions can model real-world situations? For instance, they can represent scenarios where different rules apply under different conditions, like determining shipping costs based on the weight of a package!
Additionally, when working with piecewise functions, it’s easy to overlook the boundaries. A common mistake is to neglect checking the correct piece at the boundaries—like when in this case. Always remember to read the conditions carefully!

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