Question
- At
, the function given by
is
Ask by Cross Page. in China
Jan 03,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
当
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!