Question

1. consider the function $y = \frac{5}{x}$. all real values of $y$ such that $y > 0$. all real values of $y$, except $y = 0$. 9e hence state the equation of the horizontal asymptote. enter your next step here

Explanation:

Step1: Recall asymptote definition

A horizontal asymptote is the value $y$ approaches as $x\to\pm\infty$.

Step2: Evaluate limit of the function

$$\lim_{x\to\pm\infty} \frac{5}{x} = 0$$

Step3: State the asymptote equation

The horizontal asymptote is $y=0$.

Answer:

$y=0$