It seems like you would like to create or interpret a piecewise function for children's cough syrup dosage based on age. Typically, this function would specify different dosage guidelines depending on the age ranges of the child. Here’s a generic example of what such a piecewise function might look like:
\[ f(x) = \begin{cases} 0.5 & \text{if } 2 \leq x < 4 \ 1.0 & \text{if } 4 \leq x < 6 \ 1.5 & \text{if } 6 \leq x < 8 \ 2.0 & \text{if } 8 \leq x < 12 \ 2.5 & \text{if } 12 \leq x < 18 \ \text{undefined} & \text{if } x < 2 \text{ or } x \geq 18 \end{cases} \]
Explanation of the Function:
- For children aged 2 to less than 4 years, the dosage is 0.5 fluid ounces.
- For children aged 4 to less than 6 years, the dosage is 1.0 fluid ounce.
- For children aged 6 to less than 8 years, the dosage is 1.5 fluid ounces.
- For children aged 8 to less than 12 years, the dosage is 2.0 fluid ounces.
- For children aged 12 to less than 18 years, the dosage is 2.5 fluid ounces.
- The dosage is undefined for children under 2 years and those aged 18 years and older.
Important Considerations:
- Always consult a healthcare professional before administering any medication to children.
- These dosage guidelines can vary based on specific products or health recommendations, so it is essential to check the label or consult a physician.
If you have specific ranges or dosages in mind, feel free to share, and I can help you create a more tailored piecewise function!
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