Question

1. write a rational function that has no y - intercept.

Explanation:

Step1: Recall y - intercept concept

The y - intercept of a function $y = f(x)$ is found by setting $x = 0$. For a rational function $y=\frac{g(x)}{h(x)}$, if $h(0)=0$ and $g(0)
eq0$, the function is undefined at $x = 0$ and has no y - intercept.

Step2: Construct a rational function

Let $g(x)=1$ and $h(x)=x$. Then the rational function is $y=\frac{1}{x}$. When $x = 0$, the function $\frac{1}{x}$ is undefined, so it has no y - intercept.

Answer:

$y=\frac{1}{x}$