Find Numbers a and B, or K, So That F $f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } , & \text { if } x \leq 4 \\ k x , & \text { if } x > 4 \end{array} \right.$

question 96

Multiple Choice

Find numbers a and b, or k, so that f is continuous at every point.
- $f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } , & \text { if } x \leq 4 \\ k x , & \text { if } x > 4 \end{array} \right.$

• A) \(k = 16\)
• B) \(\mathrm { k } = \frac { 1 } { 4 }\)
• C) \(\mathrm { k } = 4\)
• D) Impossible

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Definitions:

Cough

A sudden, forceful expulsion of air from the lungs often to clear the throat or airways of irritants, mucus, or foreign particles.

Aspiration

The accidental inhalation of food particles, fluids, or vomit into the lungs, which can lead to respiratory infections or complications.

Humidification

The process of adding moisture to the air, which is beneficial for maintaining healthy respiratory functions.

Oxygen Saturation

A measure of the amount of oxygen-carrying hemoglobin in the blood relative to the total hemoglobin, indicating the efficiency of oxygen transport.