Question

the function $y = \frac{16800}{x}$ is a rational function. what is the behavior of the function as $x$ approaches zero from the right? $y$ approaches $+\infty$ $y$ approaches zero $y$ approaches $-\infty$

Explanation:

Step1: Analyze the function

The function is \( y=\frac{16800}{x} \). When \( x \) approaches 0 from the right, \( x \) is a small positive number.

Step2: Determine the behavior

If we take \( x \) as a small positive value (e.g., \( x = 0.001 \)), then \( y=\frac{16800}{0.001}=16800000 \), which is a large positive number. As \( x \) gets closer to 0 from the right (becomes smaller positive), \( \frac{16800}{x} \) will become larger and larger positive, so \( y \) approaches \( +\infty \).

Answer:

\( y \) approaches \( +\infty \) (the first option: \( y \) approaches \( +\infty \))