the graph of the function has a vertical asymptote of x = \nthe graph of the function has a horizontal…
the graph of the function has a vertical asymptote of x = \nthe graph of the function has a horizontal asymptote of y = \nf(x)=\frac{1}{x}
Answer
Answer:
The graph of the function has a vertical asymptote of $x = 0$. The graph of the function has a horizontal asymptote of $y = 0$.
Explanation:
Step1: Find vertical asymptote
Set denominator equal to 0. For $f(x)=\frac{1}{x}$, $x = 0$ makes it undefined.
Step2: Find horizontal asymptote
As $x\to\pm\infty$, $\lim_{x\to\pm\infty}\frac{1}{x}=0$.